238875874174080 has 4096 divisors, whose sum is σ = 1085144246323200. Its totient is φ = 48769479475200.

The previous prime is 238875874174061. The next prime is 238875874174087. The reversal of 238875874174080 is 80471478578832.

238875874174080 is a `hidden beast` number, since 2 + 3 + 8 + 87 + 58 + 7 + 417 + 4 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (238875874174087) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 187060198402 + ... + 187060199678.

Almost surely, 2^{238875874174080} is an apocalyptic number.

238875874174080 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 238875874174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542572123161600).

238875874174080 is an abundant number, since it is smaller than the sum of its proper divisors (846268372149120).

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

238875874174080 is a wasteful number, since it uses less digits than its factorization.

238875874174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 72.

The spelling of 238875874174080 in words is "two hundred thirty-eight trillion, eight hundred seventy-five billion, eight hundred seventy-four million, one hundred seventy-four thousand, eighty".