238805030843568 has 1200 divisors, whose sum is σ = 925025551718400. Its totient is φ = 58874034401280.

The previous prime is 238805030843557. The next prime is 238805030843633. The reversal of 238805030843568 is 865348030508832.

238805030843568 is a `hidden beast` number, since 2 + 3 + 8 + 80 + 503 + 0 + 8 + 43 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 635677773 + ... + 636053331.

It is an arithmetic number, because the mean of its divisors is an integer number (770854626432).

Almost surely, 2^{238805030843568} is an apocalyptic number.

238805030843568 is a gapful number since it is divisible by the number (28) 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 238805030843568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462512775859200).

238805030843568 is an abundant number, since it is smaller than the sum of its proper divisors (686220520874832).

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

238805030843568 is a wasteful number, since it uses less digits than its factorization.

238805030843568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375660 (or 375638 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 238805030843568 in words is "two hundred thirty-eight trillion, eight hundred five billion, thirty million, eight hundred forty-three thousand, five hundred sixty-eight".