90111851784864 has 480 divisors, whose sum is σ = 336695868343296. Its totient is φ = 22999123722240.

The previous prime is 90111851784839. The next prime is 90111851784881. The reversal of 90111851784864 is 46848715811109.

90111851784864 is a `hidden beast` number, since 9 + 0 + 1 + 1 + 1 + 85 + 1 + 78 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1150144 + ... + 13473920.

Almost surely, 2^{90111851784864} 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 90111851784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168347934171648).

90111851784864 is an abundant number, since it is smaller than the sum of its proper divisors (246584016558432).

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

90111851784864 is a wasteful number, since it uses less digits than its factorization.

90111851784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323850 (or 12323833 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 90111851784864 in words is "ninety trillion, one hundred eleven billion, eight hundred fifty-one million, seven hundred eighty-four thousand, eight hundred sixty-four".