90991104864 has 192 divisors, whose sum is σ = 265067873280. Its totient is φ = 27098565120.

The previous prime is 90991104821. The next prime is 90991104889. The reversal of 90991104864 is 46840119909.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37002067 + ... + 37004525.

It is an arithmetic number, because the mean of its divisors is an integer number (1380561840).

Almost surely, 2^90991104864 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 90991104864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132533936640).

90991104864 is an abundant number, since it is smaller than the sum of its proper divisors (174076768416).

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

90991104864 is a wasteful number, since it uses less digits than its factorization.

90991104864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 90991104864 in words is "ninety billion, nine hundred ninety-one million, one hundred four thousand, eight hundred sixty-four".