You should've seen this coming. With thousands of people trying to set up their newly-purchased PS4s, PlayStation Network is struggling with "extremely high volume," according to Sony. As a result, you may experience some issues when trying to connect online.
"Some gamers may experience some difficulty connecting to the network or downloading content. We are actively working to resolve the issue. We apologize for the inconvenience and thank you for your patience," PlayStation says on its support page. You may want to keep that bookmarked to see future updates.
Hopefully, you followed our advice and downloaded that day-one update in advance.