90315980054784 has 729 divisors, whose sum is σ = 294049615562157. Its totient is φ = 26640132710400.

The previous prime is 90315980054737. The next prime is 90315980054789. The reversal of 90315980054784 is 48745008951309.

The square root of 90315980054784 is 9503472.

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

90315980054784 is a `hidden beast` number, since 9 + 0 + 3 + 1 + 5 + 9 + 8 + 0 + 0 + 547 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4351930032384 + 85964050022400 = 2086128^2 + 9271680^2 .

It is a super-3 number, since 3×90315980054784³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (90315980054789) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 205731161637 + ... + 205731162075.

Almost surely, 2^{90315980054784} is an apocalyptic number.

90315980054784 is the 9503472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90315980054784

90315980054784 is an abundant number, since it is smaller than the sum of its proper divisors (203733635507373).

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

90315980054784 is an equidigital number, since it uses as much as digits as its factorization.

90315980054784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 90315980054784 in words is "ninety trillion, three hundred fifteen billion, nine hundred eighty million, fifty-four thousand, seven hundred eighty-four".