90618508512 has 192 divisors, whose sum is σ = 305886873600. Its totient is φ = 25563133440.

The previous prime is 90618508489. The next prime is 90618508537. The reversal of 90618508512 is 21580581609.

It is a happy number.

90618508512 is a `hidden beast` number, since 90 + 6 + 1 + 8 + 508 + 51 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382962 + ... + 572622.

It is an arithmetic number, because the mean of its divisors is an integer number (1593160800).

Almost surely, 2^90618508512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90618508512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152943436800).

90618508512 is an abundant number, since it is smaller than the sum of its proper divisors (215268365088).

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

90618508512 is a wasteful number, since it uses less digits than its factorization.

90618508512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189766 (or 189752 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 90618508512 in words is "ninety billion, six hundred eighteen million, five hundred eight thousand, five hundred twelve".