Given: $\frac{0.00000016 * 10^m }{ 800 * 10^{-5}} = 0.02 * 10^{14}$

Multiply both sides of the equation by $800$ to get: $\frac{0.00000016 * 10^m }{ 10^{-5}} = 16 * 10^{14}$

Rewrite $0.00000016$ as $16 * 10^{-8}$ to get: $\frac{16 * 10^{-8} * 10^m }{ 10^{-5}} = 16 * 10^{14}$

Divide both sides by $16$ to get: $\frac{10^{-8} * 10^m }{ 10^{-5}} = 10^{14}$

Multiply both sides by $10^{-5}$ to get: $10^{-8} * 10^m = 10^{9}$

Divide both sides by $10^{-8}$ to get: $10^m = 10^{17}$

Since the bases are equal, we know that the exponents are equal.

So, $m = 17$

Answer: C