But common powers ghosts share are: Levitation , Invisibility , Ability to see other ghosts' auras (even when they are invisible) , manipulation of temperature (but not too strong) and communication with the human world.
Once empowered , those generic powers turn into flight , ability to sense other ghosts , and the ability to open gateways to the human world.
Invisibility and manipulation of temperature never change.
However ghost princesses have far stronger powers , they can do everything an empowered ghost can along with magic , ability to invite human souls to the netherworld(simply said , kill humans). And the strongest ability to make contracts with ghosts.