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-...