For authentification you just show your ID card that contains both your name, date of birth, and your official address. If you move you have to notify authorities and get an official sticker on your ID card showing the new address. By law, everyone is required to own either an ID card or a passport to be able to identify yourself in front of police or a court.
Of course various governemnt agencies have their own identification numbers for you, for example you have a tax id that you will have to share with your bank, and another id for social security that you will have to share with your employer, etc. But those are just for reporting to various government databases and are never a form of authentification. You first prove who you are with your ID card, then you exchange id numbers for relevant systems.
(our IDs also have numbers, but you can get a new ID card as often as you want and nobody outside the government can do anything useful with it. We had some bad experiences with government databases, so it's now a number of unconnected smaller databases)