238097623104 has 168 divisors, whose sum is σ = 745065921600. Its totient is φ = 72096537600.

The previous prime is 238097623091. The next prime is 238097623111. The reversal of 238097623104 is 401326790832.

238097623104 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 9 + 7 + 623 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 238097623104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8850634 + ... + 8877494.

It is an arithmetic number, because the mean of its divisors is an integer number (4434916200).

Almost surely, 2^238097623104 is an apocalyptic number.

238097623104 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 238097623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372532960800).

238097623104 is an abundant number, since it is smaller than the sum of its proper divisors (506968298496).

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

238097623104 is a wasteful number, since it uses less digits than its factorization.

238097623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28289 (or 28276 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 238097623104 in words is "two hundred thirty-eight billion, ninety-seven million, six hundred twenty-three thousand, one hundred four".