90169341484800 has 108 divisors (see below), whose sum is σ = 297577612242680. Its totient is φ = 24045157724160.

The previous prime is 90169341484759. The next prime is 90169341484801. The reversal of 90169341484800 is 848414396109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90169341484801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2348140735 + ... + 2348179134.

Almost surely, 2^{90169341484800} is an apocalyptic number.

It is an amenable number.

90169341484800 is an abundant number, since it is smaller than the sum of its proper divisors (207408270757880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90169341484800 is a wasteful number, since it uses less digits than its factorization.

90169341484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696319898 (or 4696319879 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 90169341484800 in words is "ninety trillion, one hundred sixty-nine billion, three hundred forty-one million, four hundred eighty-four thousand, eight hundred".