https://www.gamespot.com/articles/psn-servers-down-right-now-update-back-online/1100-6456673/

Update: PSN status is now back to normal, with all usual services resumed. Original story follows.

It appears the PlayStation Network is running into some problems right now. The official PlayStation Network Service Status page shows that basically all of PSN's services are experiencing outages right now. As always, your mileage may vary, but for now it seems as if the issues are widespread across PlayStation 4 and PlayStation 3, among other platforms.