238278444872832 has 1152 divisors, whose sum is σ = 882820389250800. Its totient is φ = 61100399001600.

The previous prime is 238278444872759. The next prime is 238278444872843.

238278444872832 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 7 + 84 + 448 + 72 + 8 + 32 = 666.

238278444872832 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 113566192681536 + 124712252191296 = 10656744^2 + 11167464^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56719456332 + ... + 56719460532.

Almost surely, 2^{238278444872832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238278444872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441410194625400).

238278444872832 is an abundant number, since it is smaller than the sum of its proper divisors (644541944377968).

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

238278444872832 is a wasteful number, since it uses less digits than its factorization.

238278444872832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6352 counting only the distinct ones).

The product of its digits is 1849688064, while the sum is 72.

The spelling of 238278444872832 in words is "two hundred thirty-eight trillion, two hundred seventy-eight billion, four hundred forty-four million, eight hundred seventy-two thousand, eight hundred thirty-two".