Properties of heaviest nuclei with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e110931" altimg="si7.svg"><mml:mrow><mml:mn>98</mml:mn><mml:mo linebreak="goodbreak" linebreakstyle="after">?</mml:mo><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">?</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e110945" altimg="si8.svg"><mml:mrow><mml:mn>134</mml:mn><…

We systematically determine ground-state and saddle-point shapes masses for 1305 heavy superheavy nuclei with $Z=98-126$ $N=134-192$, including odd-$A$ odd-odd systems. From these, we derive static fission barrier heights, one- two-nucleon separation energies, $Q_\alpha$ values g.s. to g.s transitions. Our study is performed within the microscopic-macroscopic method deformed Woods-Saxon single-particle potential Yukawa-plus-exponential macroscopic energy taken as smooth part. use parameters of model that were fitted previously even-even nuclei. For systems odd numbers protons, neutrons, or both, a standard BCS blocking. Ground-state energies are found by minimization over seven axially-symmetric deformations. A search saddle-points was using "imaginary water flow" in three consecutive stages, five- (for nonaxial shapes) seven-dimensional reflection-asymmetric deformation spaces. The results collected two main tables. Calculated mass excess, nucleon separation- total, macroscopic(normalized at spherical shape) shell corrections deformations given each nucleus \mbox{Table 1}. 2} contains calculated properties configurations heights. In \mbox{Tables 3-7}, ground-state, inner outer superdeformed secondary minima characteristics 75 actinide nuclei, from Ac Cf, which experimental estimates heights known. These an additional test our model.