90674366112 has 384 divisors, whose sum is σ = 310787850240. Its totient is φ = 25432704000.

The previous prime is 90674366087. The next prime is 90674366219. The reversal of 90674366112 is 21166347609.

90674366112 is a `hidden beast` number, since 90 + 67 + 436 + 61 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6769662 + ... + 6783042.

It is an arithmetic number, because the mean of its divisors is an integer number (809343360).

Almost surely, 2^90674366112 is an apocalyptic number.

90674366112 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 90674366112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155393925120).

90674366112 is an abundant number, since it is smaller than the sum of its proper divisors (220113484128).

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

90674366112 is a wasteful number, since it uses less digits than its factorization.

90674366112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13465 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90674366112 in words is "ninety billion, six hundred seventy-four million, three hundred sixty-six thousand, one hundred twelve".