90812052470016 has 216 divisors, whose sum is σ = 273418566535296. Its totient is φ = 28933269995520.

The previous prime is 90812052469997. The next prime is 90812052470099. The reversal of 90812052470016 is 61007425021809.

90812052470016 is a `hidden beast` number, since 9 + 0 + 8 + 120 + 52 + 470 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71492541 + ... + 72751683.

Almost surely, 2^{90812052470016} is an apocalyptic number.

90812052470016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90812052470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136709283267648).

90812052470016 is an abundant number, since it is smaller than the sum of its proper divisors (182606514065280).

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

90812052470016 is a wasteful number, since it uses less digits than its factorization.

90812052470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260549 (or 1260532 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 9081205 and 2470016, that added together give a triangular number (11551221 = T₄₈₀₆).

The spelling of 90812052470016 in words is "ninety trillion, eight hundred twelve billion, fifty-two million, four hundred seventy thousand, sixteen".