89856657121 has 81 divisors (see below), whose sum is σ = 122584747257. Its totient is φ = 65611687680.

The previous prime is 89856657089. The next prime is 89856657127. The reversal of 89856657121 is 12175665898.

It is a happy number.

The square root of 89856657121 is 299761.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47652707025 + 42203950096 = 218295^2 + 205436^2 .

It is not a de Polignac number, because 89856657121 - 2⁵ = 89856657089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89856657127) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 392387035 + ... + 392387263.

Almost surely, 2^89856657121 is an apocalyptic number.

89856657121 is the 299761-st square number.

89856657121 is the 149881-st centered octagonal number.

It is an amenable number.

89856657121 is a deficient number, since it is larger than the sum of its proper divisors (32728090136).

89856657121 is a wasteful number, since it uses less digits than its factorization.

89856657121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 58.

The spelling of 89856657121 in words is "eighty-nine billion, eight hundred fifty-six million, six hundred fifty-seven thousand, one hundred twenty-one".