92088800956681 has 9 divisors (see below), whose sum is σ = 93676658732391. Its totient is φ = 90527417236944.

The previous prime is 92088800956637. The next prime is 92088800956717. The reversal of 92088800956681 is 18665900888029.

The square root of 92088800956681 is 9596291.

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

It can be written as a sum of positive squares in only one way, i.e., 40752149155081 + 51336651801600 = 6383741^2 + 7164960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-92088800956681 is a prime.

It is a super-2 number, since 2×92088800956681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 92088800956681.

It is not an unprimeable number, because it can be changed into a prime (92088800956781) by changing a digit.

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, 566099845 + ... + 566262493.

Almost surely, 2^{92088800956681} is an apocalyptic number.

92088800956681 is the 9596291-st square number.

92088800956681 is the 4798146-th centered octagonal number.

It is an amenable number.

92088800956681 is a deficient number, since it is larger than the sum of its proper divisors (1587857775710).

92088800956681 is an frugal number, since it uses more digits than its factorization.

92088800956681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325416 (or 162708 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 70.

The spelling of 92088800956681 in words is "ninety-two trillion, eighty-eight billion, eight hundred million, nine hundred fifty-six thousand, six hundred eighty-one".