There are many moons orbiting the outer planets, making it hard to give a single number. Here's a breakdown:

* Jupiter: 79 confirmed moons

* Saturn: 82 confirmed moons

* Uranus: 27 confirmed moons

* Neptune: 14 confirmed moons

Total: This adds up to 202 confirmed moons orbiting the outer planets.

Important Note: This number is constantly changing as new moons are discovered! For the most up-to-date information, you can check websites like NASA's Planetary Science Division.