88818900625 has 135 divisors (see below), whose sum is σ = 140879344023. Its totient is φ = 55790280000.

The previous prime is 88818900623. The next prime is 88818900649. The reversal of 88818900625 is 52600981888.

The square root of 88818900625 is 298025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 87729108481 + 1089792144 = 296191^2 + 33012^2 .

It is not a de Polignac number, because 88818900625 - 2¹ = 88818900623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88818900623) 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 134 ways as a sum of consecutive naturals, for example, 678006810 + ... + 678006940.

Almost surely, 2^88818900625 is an apocalyptic number.

88818900625 is the 298025-th square number.

88818900625 is the 149013-rd centered octagonal number.

It is an amenable number.

88818900625 is a deficient number, since it is larger than the sum of its proper divisors (52060443398).

88818900625 is an equidigital number, since it uses as much as digits as its factorization.

88818900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 55.

The spelling of 88818900625 in words is "eighty-eight billion, eight hundred eighteen million, nine hundred thousand, six hundred twenty-five".