88481960055225 has 405 divisors, whose sum is σ = 186456682627677. Its totient is φ = 41448735504000.

The previous prime is 88481960055193. The next prime is 88481960055299. The reversal of 88481960055225 is 52255006918488.

It is a happy number.

The square root of 88481960055225 is 9406485.

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

88481960055225 is a `hidden beast` number, since 8 + 8 + 4 + 8 + 19 + 60 + 0 + 552 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51705691904889 + 36776268150336 = 7190667^2 + 6064344^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 88481960055225 - 2⁵ = 88481960055193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 144342512019 + ... + 144342512631.

Almost surely, 2^{88481960055225} is an apocalyptic number.

88481960055225 is the 9406485-th square number.

88481960055225 is the 4703243-rd centered octagonal number.

It is an amenable number.

88481960055225 is an abundant number, since it is smaller than the sum of its proper divisors (97974722572452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88481960055225 is an equidigital number, since it uses as much as digits as its factorization.

88481960055225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 88481960055225 in words is "eighty-eight trillion, four hundred eighty-one billion, nine hundred sixty million, fifty-five thousand, two hundred twenty-five".