The ratings are probably rather optimistic, but in any case that would be an instantaneous peak power at 4500rpm and for a given size of motor the power increases approximately in proportion to the speed. These 3-phase electronically commutated PM motors with rare earth magnets can be surprisingly powerful, having been developed extensively for drone use in recent years. And yes, the batteries have to go some to power them. The charging stations I made up to support a multirotor that carries a 40kg payload each have 1.8kW DC charging output for six 14Ah 6S LiPo packs rated to 45C (630A) peak current. The craft carries two packs giving about 15 minutes max flight time under average conditions, leaving enough juice in each pack to make a controlled landing if the other fails.