90961083171904 has 63 divisors (see below), whose sum is σ = 198403645710711. Its totient is φ = 41345565402240.

The previous prime is 90961083171899. The next prime is 90961083172021. The reversal of 90961083171904 is 40917138016909.

The square root of 90961083171904 is 9537352.

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

It is a super-2 number, since 2×90961083171904² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 839232787 + ... + 839341165.

Almost surely, 2^{90961083171904} is an apocalyptic number.

90961083171904 is the 9537352-nd square number.

It is an amenable number.

90961083171904 is an abundant number, since it is smaller than the sum of its proper divisors (107442562538807).

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

90961083171904 is an frugal number, since it uses more digits than its factorization.

90961083171904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216792 (or 108392 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 90961083171904 in words is "ninety trillion, nine hundred sixty-one billion, eighty-three million, one hundred seventy-one thousand, nine hundred four".