86356638225 has 243 divisors, whose sum is σ = 185451521619. Its totient is φ = 38367014400.

The previous prime is 86356638191. The next prime is 86356638227. The reversal of 86356638225 is 52283665368.

The square root of 86356638225 is 293865.

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

86356638225 is a `hidden beast` number, since 8 + 6 + 356 + 63 + 8 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 76711826961 + 9644811264 = 276969^2 + 98208^2 .

It is not a de Polignac number, because 86356638225 - 2²⁷ = 86222420497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86356638227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 630340357 + ... + 630340493.

Almost surely, 2^86356638225 is an apocalyptic number.

86356638225 is the 293865-th square number.

86356638225 is the 146933-rd centered octagonal number.

It is an amenable number.

86356638225 is an abundant number, since it is smaller than the sum of its proper divisors (99094883394).

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

86356638225 is a wasteful number, since it uses less digits than its factorization.

86356638225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 86356638225 in words is "eighty-six billion, three hundred fifty-six million, six hundred thirty-eight thousand, two hundred twenty-five".