238765874688 has 480 divisors, whose sum is σ = 793062990720. Its totient is φ = 71102914560.

The previous prime is 238765874663. The next prime is 238765874719. The reversal of 238765874688 is 886478567832.

238765874688 is a `hidden beast` number, since 2 + 3 + 87 + 6 + 5 + 87 + 468 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80744506 + ... + 80747462.

It is an arithmetic number, because the mean of its divisors is an integer number (1652214564).

Almost surely, 2^238765874688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238765874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396531495360).

238765874688 is an abundant number, since it is smaller than the sum of its proper divisors (554297116032).

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

238765874688 is an equidigital number, since it uses as much as digits as its factorization.

238765874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3032 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 238765874688 in words is "two hundred thirty-eight billion, seven hundred sixty-five million, eight hundred seventy-four thousand, six hundred eighty-eight".