238150823904 has 432 divisors, whose sum is σ = 850444751520. Its totient is φ = 62837913600.

The previous prime is 238150823831. The next prime is 238150824061. The reversal of 238150823904 is 409328051832.

238150823904 is a `hidden beast` number, since 2 + 38 + 1 + 508 + 23 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 238150823904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9400054 + ... + 9425354.

It is an arithmetic number, because the mean of its divisors is an integer number (1968622110).

Almost surely, 2^238150823904 is an apocalyptic number.

238150823904 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 238150823904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425222375760).

238150823904 is an abundant number, since it is smaller than the sum of its proper divisors (612293927616).

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

238150823904 is a wasteful number, since it uses less digits than its factorization.

238150823904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25383 (or 25365 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 238150823904 in words is "two hundred thirty-eight billion, one hundred fifty million, eight hundred twenty-three thousand, nine hundred four".