We use the methods, which we developed in a previous paper, for the calculation of potential energy surfaces and lifetimes for superheavy nuclei. Two regions of relative stability against spontaneous fission, which are connected with the magic proton numbersZ=114 andZ=164 and which will both become accessible for experiments in the near future, are discussed. Especially the nuclei aroundZ=164 are investigated here at the first time. The lifetimes for α-decay are also estimated and appear to be long enough for experimental work. Furthermore, we have investigated the dependence of the fission barrier on the level-distributions at the fermi-surface. At the end we discuss the difficulties in the usual microscopic calculations for the fission process and show a way to overcome the limitations and inconsistencies of the usually used Strutinsky-type calculations.