238626068234400 has 5184 divisors, whose sum is σ = 1170018947994624. Its totient is φ = 46292904345600.

The previous prime is 238626068234357. The next prime is 238626068234419. The reversal of 238626068234400 is 4432860626832.

238626068234400 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 2 + 606 + 8 + 23 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 456263992539 + ... + 456263993061.

It is an arithmetic number, because the mean of its divisors is an integer number (225698099536).

Almost surely, 2^{238626068234400} is an apocalyptic number.

238626068234400 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 238626068234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585009473997312).

238626068234400 is an abundant number, since it is smaller than the sum of its proper divisors (931392879760224).

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

238626068234400 is a wasteful number, since it uses less digits than its factorization.

238626068234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 238626068234400 in words is "two hundred thirty-eight trillion, six hundred twenty-six billion, sixty-eight million, two hundred thirty-four thousand, four hundred".