88642507450225 has 9 divisors (see below), whose sum is σ = 109916767611403. Its totient is φ = 70913968300120.

The previous prime is 88642507450201. The next prime is 88642507450229. The reversal of 88642507450225 is 52205470524688.

The square root of 88642507450225 is 9415015.

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

It can be written as a sum of positive squares in only one way, i.e., 31911302682081 + 56731204768144 = 5649009^2 + 7532012^2 .

It is not a de Polignac number, because 88642507450225 - 2⁷ = 88642507450097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 88642507450225.

It is not an unprimeable number, because it can be changed into a prime (88642507450229) 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 8 ways as a sum of consecutive naturals, for example, 46133574 + ... + 48016576.

Almost surely, 2^{88642507450225} is an apocalyptic number.

88642507450225 is the 9415015-th square number.

88642507450225 is the 4707508-th centered octagonal number.

It is an amenable number.

88642507450225 is a deficient number, since it is larger than the sum of its proper divisors (21274260161178).

88642507450225 is an frugal number, since it uses more digits than its factorization.

88642507450225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766016 (or 1883008 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 58.

The spelling of 88642507450225 in words is "eighty-eight trillion, six hundred forty-two billion, five hundred seven million, four hundred fifty thousand, two hundred twenty-five".