238431772800 has 768 divisors, whose sum is σ = 995073811200. Its totient is φ = 55234068480.

The previous prime is 238431772781. The next prime is 238431772847. The reversal of 238431772800 is 8277134832.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19088157 + ... + 19100643.

It is an arithmetic number, because the mean of its divisors is an integer number (1295669025).

Almost surely, 2^238431772800 is an apocalyptic number.

238431772800 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 238431772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497536905600).

238431772800 is an abundant number, since it is smaller than the sum of its proper divisors (756642038400).

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

238431772800 is a wasteful number, since it uses less digits than its factorization.

238431772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 238431772800 in words is "two hundred thirty-eight billion, four hundred thirty-one million, seven hundred seventy-two thousand, eight hundred".