Yes. Your brain runs on about 20 watts of power — roughly the same as a dim LED light bulb — even though it handles your thoughts, memories, senses, and every move you make.
Your brain has about 86 billion neurons, and it never fully shuts off — even in deep sleep it stays active, sorting memories and running your breathing, heartbeat, and dreams. It does all of that on the power of a light bulb because it doesn't work like a computer. Instead of brute-force calculations, it uses chemical and electrical signals together, and it's constantly rewiring itself to get more efficient.
That's the part scientists are still trying to copy. Engineers study the brain to design computer chips that sip power the way it does — because right now, matching the brain's efficiency is something no machine can do.
Thinking hard doesn't burn dramatically more calories — the 20 watts stays fairly steady. Mental fatigue is real, but it's more about strain and signaling than an empty battery. Your brain is less like a bulb burning out and more like a city that never sleeps: the lights are always on.
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Sources: standard neuroscience references on cerebral energy metabolism (~20 W resting power, ~20% of resting energy budget at ~2% of body mass).