238634532864 has 1080 divisors, whose sum is σ = 928741191840. Its totient is φ = 59624128512.

The previous prime is 238634532821. The next prime is 238634532967. The reversal of 238634532864 is 468235436832.

238634532864 is a `hidden beast` number, since 23 + 8 + 6 + 3 + 4 + 532 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 238634532864.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12559712247 + ... + 12559712265.

It is an arithmetic number, because the mean of its divisors is an integer number (859945548).

Almost surely, 2^238634532864 is an apocalyptic number.

238634532864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238634532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464370595920).

238634532864 is an abundant number, since it is smaller than the sum of its proper divisors (690106658976).

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

238634532864 is an frugal number, since it uses more digits than its factorization.

238634532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 238634532864 in words is "two hundred thirty-eight billion, six hundred thirty-four million, five hundred thirty-two thousand, eight hundred sixty-four".