Solillion

The solillion is equal to $$10^{3 \cdot 10^{3 \cdot 10^{3 \cdot \text{septillion}}} + 3}$$, or $$10^{3 \cdot 10^{3 \cdot 10^{3 \cdot 10^{24}}} + 3}$$. The term was coined by Jonathan Bowers.

Etymology
The name of this number is based on the word "sun" or "Sol ar" and the suffix "-illion".