90112835344 has 135 divisors (see below), whose sum is σ = 207372803463. Its totient is φ = 37823688000.

The previous prime is 90112835311. The next prime is 90112835359. The reversal of 90112835344 is 44353821109.

It is a happy number.

The square root of 90112835344 is 300188.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 90112835297 and 90112835306.

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 26 ways as a sum of consecutive naturals, for example, 596773669 + ... + 596773819.

Almost surely, 2^90112835344 is an apocalyptic number.

90112835344 is the 300188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90112835344

90112835344 is an abundant number, since it is smaller than the sum of its proper divisors (117259968119).

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

90112835344 is an equidigital number, since it uses as much as digits as its factorization.

90112835344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 90112835344 in words is "ninety billion, one hundred twelve million, eight hundred thirty-five thousand, three hundred forty-four".