Yes, you’re correct—let’s clarify this carefully:
1 micromole of photons is:
$
6.022 \times 10^{17} \text{ photons}
$
Since $10^{15}$ is a quadrillion, we rewrite:
$
6.022 \times 10^{17} = 602.2 \times 10^{15}
$
Therefore, expressed correctly in English terms:
602.2 quadrillion photons per micromole
Your correction is right!