238160412800 has 72 divisors (see below), whose sum is σ = 588398849085. Its totient is φ = 95253122560.

The previous prime is 238160412769. The next prime is 238160412907. The reversal of 238160412800 is 8214061832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 233397204544 + 4763208256 = 483112^2 + 69016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=345080.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27602087 + ... + 27610713.

Almost surely, 2^238160412800 is an apocalyptic number.

238160412800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238160412800 is an abundant number, since it is smaller than the sum of its proper divisors (350238436285).

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

238160412800 is an frugal number, since it uses more digits than its factorization.

238160412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17278 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 238160412800 in words is "two hundred thirty-eight billion, one hundred sixty million, four hundred twelve thousand, eight hundred".