Parameters needed to identify the correct capacitor
Is any ceramic capacitor, which has these same values, suitable to
  replace the above one, or other features must be taken into account
  when replacing such a component?


Be very careful here. If the capacitor is X or Y rated then swapping it with one that isn’t is asking for trouble. X and Y rated capacitors are specifically designed to fail safe thus, if they are used in filters across live AC terminals or AC to ground, you must replace with the correct type.

The good news is that every single X or Y rated capacitor has markings that are reasonably unambiguous in that respect: -



The ones above are Y rated.



These are X rated.