90968091144 has 48 divisors (see below), whose sum is σ = 264550064400. Its totient is φ = 25990882848.

The previous prime is 90968091133. The next prime is 90968091167. The reversal of 90968091144 is 44119086909.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38675734 + ... + 38678085.

It is an arithmetic number, because the mean of its divisors is an integer number (5511459675).

Almost surely, 2^90968091144 is an apocalyptic number.

It is an amenable number.

90968091144 is an abundant number, since it is smaller than the sum of its proper divisors (173581973256).

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

90968091144 is a wasteful number, since it uses less digits than its factorization.

90968091144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77353842 (or 77353831 counting only the distinct ones).

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

The spelling of 90968091144 in words is "ninety billion, nine hundred sixty-eight million, ninety-one thousand, one hundred forty-four".