90979456512 has 960 divisors, whose sum is σ = 328030433280. Its totient is φ = 21838823424.

The previous prime is 90979456501. The next prime is 90979456537. The reversal of 90979456512 is 21565497909.

It is a super-2 number, since 2×90979456512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1357902303 + ... + 1357902369.

It is an arithmetic number, because the mean of its divisors is an integer number (341698368).

Almost surely, 2^90979456512 is an apocalyptic number.

90979456512 is a gapful number since it is divisible by the number (92) 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 90979456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164015216640).

90979456512 is an abundant number, since it is smaller than the sum of its proper divisors (237050976768).

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

90979456512 is a wasteful number, since it uses less digits than its factorization.

90979456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 90979456512 in words is "ninety billion, nine hundred seventy-nine million, four hundred fifty-six thousand, five hundred twelve".