89918659677025 has 27 divisors (see below), whose sum is σ = 114596309617419. Its totient is φ = 69989375018880.

The previous prime is 89918659676999. The next prime is 89918659677097. The reversal of 89918659677025 is 52077695681998.

The square root of 89918659677025 is 9482545.

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

It can be written as a sum of positive squares in 13 ways, for example, as 61649616882529 + 28269042794496 = 7851727^2 + 5316864^2 .

It is not a de Polignac number, because 89918659677025 - 2⁹ = 89918659676513 is a prime.

It is a super-2 number, since 2×89918659677025² (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 89918659677025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1754245197 + ... + 1754296453.

Almost surely, 2^{89918659677025} is an apocalyptic number.

89918659677025 is the 9482545-th square number.

89918659677025 is the 4741273-rd centered octagonal number.

It is an amenable number.

89918659677025 is a deficient number, since it is larger than the sum of its proper divisors (24677649940394).

89918659677025 is an frugal number, since it uses more digits than its factorization.

89918659677025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102598 (or 51299 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 82.

The spelling of 89918659677025 in words is "eighty-nine trillion, nine hundred eighteen billion, six hundred fifty-nine million, six hundred seventy-seven thousand, twenty-five".