90557661184 has 45 divisors (see below), whose sum is σ = 181186863151. Its totient is φ = 45259571200.

The previous prime is 90557661169. The next prime is 90557661251. The reversal of 90557661184 is 48116675509.

The square root of 90557661184 is 300928.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×90557661184³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 38517609 + ... + 38519959.

Almost surely, 2^90557661184 is an apocalyptic number.

90557661184 is the 300928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90557661184

90557661184 is an abundant number, since it is smaller than the sum of its proper divisors (90629201967).

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

90557661184 is an frugal number, since it uses more digits than its factorization.

90557661184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 90557661184 in words is "ninety billion, five hundred fifty-seven million, six hundred sixty-one thousand, one hundred eighty-four".