90051991344 has 120 divisors (see below), whose sum is σ = 288190200480. Its totient is φ = 25714243584.

The previous prime is 90051991331. The next prime is 90051991361. The reversal of 90051991344 is 44319915009.

90051991344 is a `hidden beast` number, since 9 + 0 + 0 + 519 + 91 + 3 + 44 = 666.

It is a super-2 number, since 2×90051991344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90051991344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778344 + ... + 1828280.

It is an arithmetic number, because the mean of its divisors is an integer number (2401585004).

Almost surely, 2^90051991344 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 90051991344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144095100240).

90051991344 is an abundant number, since it is smaller than the sum of its proper divisors (198138209136).

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

90051991344 is a wasteful number, since it uses less digits than its factorization.

90051991344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51747 (or 51738 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 90051991344 in words is "ninety billion, fifty-one million, nine hundred ninety-one thousand, three hundred forty-four".