238116595494960 has 1440 divisors, whose sum is σ = 1033906700736000. Its totient is φ = 50201879390208.

The previous prime is 238116595494887. The next prime is 238116595494971. The reversal of 238116595494960 is 69494595611832.

238116595494960 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 1 + 6 + 5 + 95 + 49 + 496 + 0 = 666.

It is a super-2 number, since 2×238116595494960² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27885766371 + ... + 27885774909.

It is an arithmetic number, because the mean of its divisors is an integer number (717990764400).

Almost surely, 2^{238116595494960} is an apocalyptic number.

238116595494960 is a gapful number since it is divisible by the number (20) 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 238116595494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516953350368000).

238116595494960 is an abundant number, since it is smaller than the sum of its proper divisors (795790105241040).

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

238116595494960 is a wasteful number, since it uses less digits than its factorization.

238116595494960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 238116595494960 in words is "two hundred thirty-eight trillion, one hundred sixteen billion, five hundred ninety-five million, four hundred ninety-four thousand, nine hundred sixty".