38978607591225 has 27 divisors (see below), whose sum is σ = 69815184888943. Its totient is φ = 20788540769040.

The previous prime is 38978607591211. The next prime is 38978607591247. The reversal of 38978607591225 is 52219570687983.

The square root of 38978607591225 is 6243285.

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

38978607591225 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 8 + 6 + 0 + 7 + 591 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14032298732841 + 24946308858384 = 3745971^2 + 4994628^2 .

It is not a de Polignac number, because 38978607591225 - 2¹⁷ = 38978607460153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93441166 + ... + 93857384.

Almost surely, 2^{38978607591225} is an apocalyptic number.

38978607591225 is the 6243285-th square number.

38978607591225 is the 3121643-rd centered octagonal number.

It is an amenable number.

38978607591225 is a deficient number, since it is larger than the sum of its proper divisors (30836577297718).

38978607591225 is an frugal number, since it uses more digits than its factorization.

38978607591225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832454 (or 416227 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 38978607591225 in words is "thirty-eight trillion, nine hundred seventy-eight billion, six hundred seven million, five hundred ninety-one thousand, two hundred twenty-five".