238657756832 has 48 divisors (see below), whose sum is σ = 522242979552. Its totient is φ = 106433982720.

The previous prime is 238657756817. The next prime is 238657756837.

238657756832 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (238657756837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6377618 + ... + 6414929.

It is an arithmetic number, because the mean of its divisors is an integer number (10880062074).

Almost surely, 2^238657756832 is an apocalyptic number.

238657756832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

238657756832 is an abundant number, since it is smaller than the sum of its proper divisors (283585222720).

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

238657756832 is a wasteful number, since it uses less digits than its factorization.

238657756832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12792621 (or 12792613 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 238657756832 in words is "two hundred thirty-eight billion, six hundred fifty-seven million, seven hundred fifty-six thousand, eight hundred thirty-two".