Wattage equals the resistance times the square of the current. W=RxIxI. If power were 16 watts and resistance were 4 ohms, the current would be 2 amps.
By the way, the capacitors in your amp's power supply store energy like a water tank stores water. The tank is capable of delivering a high volume of water until it is depleted, even though it's refilled at a much slower rate from the pump at the well. Similarly, your power supply capacitors are filled relatively slowly from the wall current, but your amp is capable of disseminating current at a faster rate until the capacitors are depleted. Most usage requires very brief bursts of high current to support musical peaks so the capacitors almost never get fully depleted. Relative to the needs of the music, they refill quickly enough.
By the way, the capacitors in your amp's power supply store energy like a water tank stores water. The tank is capable of delivering a high volume of water until it is depleted, even though it's refilled at a much slower rate from the pump at the well. Similarly, your power supply capacitors are filled relatively slowly from the wall current, but your amp is capable of disseminating current at a faster rate until the capacitors are depleted. Most usage requires very brief bursts of high current to support musical peaks so the capacitors almost never get fully depleted. Relative to the needs of the music, they refill quickly enough.