238022296072704 has 960 divisors, whose sum is σ = 835716767453568. Its totient is φ = 64779409981440.

The previous prime is 238022296072697. The next prime is 238022296072739. The reversal of 238022296072704 is 407270692220832.

238022296072704 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 2 + 2 + 2 + 9 + 607 + 27 + 0 + 4 = 666.

It is a super-2 number, since 2×238022296072704² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2950051947 + ... + 2950132629.

Almost surely, 2^{238022296072704} is an apocalyptic number.

238022296072704 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 238022296072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417858383726784).

238022296072704 is an abundant number, since it is smaller than the sum of its proper divisors (597694471380864).

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

238022296072704 is a wasteful number, since it uses less digits than its factorization.

238022296072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80790 (or 80749 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 238022296072704 in words is "two hundred thirty-eight trillion, twenty-two billion, two hundred ninety-six million, seventy-two thousand, seven hundred four".