88681489897225 has 81 divisors (see below), whose sum is σ = 114499367182933. Its totient is φ = 68134493392000.

The previous prime is 88681489897211. The next prime is 88681489897237. The reversal of 88681489897225 is 52279898418688.

It is a happy number.

The square root of 88681489897225 is 9417085.

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 37327468763641 + 51354021133584 = 6109621^2 + 7166172^2 .

It is not a de Polignac number, because 88681489897225 - 2²⁵ = 88681456342793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 137065671852 + ... + 137065672498.

Almost surely, 2^{88681489897225} is an apocalyptic number.

88681489897225 is the 9417085-th square number.

88681489897225 is the 4708543-rd centered octagonal number.

It is an amenable number.

88681489897225 is a deficient number, since it is larger than the sum of its proper divisors (25817877285708).

88681489897225 is an frugal number, since it uses more digits than its factorization.

88681489897225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 764 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 85.

The spelling of 88681489897225 in words is "eighty-eight trillion, six hundred eighty-one billion, four hundred eighty-nine million, eight hundred ninety-seven thousand, two hundred twenty-five".