$$\frac{2^{63}}{2^{45} \cdot 2^{14}} = \frac{2^{63}}{2^{45+14}} = \frac{2^{63}}{2^{59}} = 2^{63-59} = 2^4 = 2 \cdot 2 \cdot 2 \cdot 2 = 16 $$.
Ответ: $$16$$