238290254485920 has 1152 divisors, whose sum is σ = 1045047809836800. Its totient is φ = 50265236496384.

The previous prime is 238290254485883. The next prime is 238290254485949. The reversal of 238290254485920 is 29584452092832.

It is a happy number.

238290254485920 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 9 + 0 + 2 + 544 + 85 + 9 + 2 + 0 = 666.

238290254485920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 18462088107 + ... + 18462101013.

It is an arithmetic number, because the mean of its divisors is an integer number (907159557150).

Almost surely, 2^{238290254485920} is an apocalyptic number.

238290254485920 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 238290254485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522523904918400).

238290254485920 is an abundant number, since it is smaller than the sum of its proper divisors (806757555350880).

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

238290254485920 is a wasteful number, since it uses less digits than its factorization.

238290254485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19667 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 238290254485920 in words is "two hundred thirty-eight trillion, two hundred ninety billion, two hundred fifty-four million, four hundred eighty-five thousand, nine hundred twenty".