89626588129 has 9 divisors (see below), whose sum is σ = 97055490393. Its totient is φ = 82728642672.

The previous prime is 89626588109. The next prime is 89626588133. The reversal of 89626588129 is 92188562698.

The square root of 89626588129 is 299377.

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 731973025 + 88894615104 = 27055^2 + 298152^2 .

It is not a de Polignac number, because 89626588129 - 2¹¹ = 89626586081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89626588109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3880387 + ... + 3903415.

It is an arithmetic number, because the mean of its divisors is an integer number (10783943377).

Almost surely, 2^89626588129 is an apocalyptic number.

89626588129 is the 299377-th square number.

89626588129 is the 149689-th centered octagonal number.

It is an amenable number.

89626588129 is a deficient number, since it is larger than the sum of its proper divisors (7428902264).

89626588129 is an frugal number, since it uses more digits than its factorization.

89626588129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46084 (or 23042 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 64.

Multiplying 89626588129 by its sum of digits (64), we get a square (5736101640256 = 2395016²).

The spelling of 89626588129 in words is "eighty-nine billion, six hundred twenty-six million, five hundred eighty-eight thousand, one hundred twenty-nine".