238985793622752 has 192 divisors, whose sum is σ = 684845863511040. Its totient is φ = 72369432576000.

The previous prime is 238985793622733. The next prime is 238985793622841. The reversal of 238985793622752 is 257226397589832.

It is a super-2 number, since 2×238985793622752² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9888100524 + ... + 9888124692.

It is an arithmetic number, because the mean of its divisors is an integer number (3566905539120).

Almost surely, 2^{238985793622752} is an apocalyptic number.

238985793622752 is a gapful number since it is divisible by the number (22) 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 238985793622752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342422931755520).

238985793622752 is an abundant number, since it is smaller than the sum of its proper divisors (445860069888288).

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

238985793622752 is a wasteful number, since it uses less digits than its factorization.

238985793622752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30337 (or 30329 counting only the distinct ones).

The product of its digits is 5486745600, while the sum is 78.

The spelling of 238985793622752 in words is "two hundred thirty-eight trillion, nine hundred eighty-five billion, seven hundred ninety-three million, six hundred twenty-two thousand, seven hundred fifty-two".