About amicable numbers

About amicable numbers

My question might seem wrong but I will explain it now:
We will define $\phi(a)$ as the sum of divisors of $a$ except $a$.
A pair $(a,b)$ is an amicable pair $\iff ((\phi(a) = b) \land (\phi(b) =
a)) \land (a \neq b)$
Obviously if $(a,b)$ is an amicable pair $(b,a)$ is also an amicable pair.
So, we will say $a$ is an amicable number $\iff$ There exist an $b$, such
that $(a,b)$ is an amicable pair and $b < a$. Also we will say $a$ is a
perfect number $\iff$ $\phi(a) = a$.
So my question is if we pick an arbitrary number, is it more likely an
amicable number or perfect number? This question might be wrong because
they might be finite but my question is simple: "Are there more amicable
numbers than perfect numbers?"
I check with computer and believed that it is more likely an amicable number.