A motor vehicle brake, in particular an electromechanically actuable motor vehicle brake, having an actuator subassembly, including a housing, a servo element which is movable in relation to the housing, for moving a brake pad, a motorised drive, a movement mechanism arranged between the motorised drive and the movable servo element, a gear arrangement associated with the movement mechanism, wherein the movement mechanism has a ball screw with a spindle that can be driven in rotation and a nut that can be displaced linearly in the housing, wherein the nut may be moved, for moving the servo element, by driving the spindle in rotation within the housing. In this motor vehicle brake it is provided for the gear arrangement to have a wrap spring clutch which is arranged in the flow of force between the motorised drive and the spindle such that the wrap spring clutch permits torque to be transmitted from the motorised drive to the spindle, and is constructed to block transmission of torque from the spindle to the motorised drive.