38112657867025 has 81 divisors (see below), whose sum is σ = 57477224692881. Its totient is φ = 24994856335680.

The previous prime is 38112657866993. The next prime is 38112657867049. The reversal of 38112657867025 is 52076875621183.

It is a happy number.

The square root of 38112657867025 is 6173545.

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 6185004859089 + 31927653007936 = 2486967^2 + 5650456^2 .

It is not a de Polignac number, because 38112657867025 - 2⁵ = 38112657866993 is a prime.

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, 4969699891 + ... + 4969707559.

Almost surely, 2^{38112657867025} is an apocalyptic number.

38112657867025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38112657867025 is the 6173545-th square number.

38112657867025 is the 3086773-rd centered octagonal number.

It is an amenable number.

38112657867025 is a deficient number, since it is larger than the sum of its proper divisors (19364566825856).

38112657867025 is an frugal number, since it uses more digits than its factorization.

38112657867025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15408 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 38112657867025 in words is "thirty-eight trillion, one hundred twelve billion, six hundred fifty-seven million, eight hundred sixty-seven thousand, twenty-five".