238652878464 has 768 divisors, whose sum is σ = 926269344000. Its totient is φ = 56959303680.

The previous prime is 238652878423. The next prime is 238652878517. The reversal of 238652878464 is 464878256832.

238652878464 is a `hidden beast` number, since 2 + 3 + 86 + 5 + 28 + 78 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402449752 + ... + 402450344.

It is an arithmetic number, because the mean of its divisors is an integer number (1206079875).

Almost surely, 2^238652878464 is an apocalyptic number.

238652878464 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 238652878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463134672000).

238652878464 is an abundant number, since it is smaller than the sum of its proper divisors (687616465536).

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

238652878464 is a wasteful number, since it uses less digits than its factorization.

238652878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 978 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 238652878464 in words is "two hundred thirty-eight billion, six hundred fifty-two million, eight hundred seventy-eight thousand, four hundred sixty-four".