A silencer for mounting on a gun barrel has a silencer housing for at least partially completely enclosing the gun barrel. A jacket pipe is integrated in the silencer housing for encasing the gun barrel. A muzzle brake is formed to hold the jacket pipe in a centered manner in the silencer housing. The silencer also includes at least one device for deflecting and/or cooling a gas that is produced when a shot is fired. A clamping device is provided for form-fitting and/or force-fitting fixing to the gun barrel.