238942249832 has 256 divisors, whose sum is σ = 554039377920. Its totient is φ = 95141836800.

The previous prime is 238942249829. The next prime is 238942249913.

It is a happy number.

238942249832 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623869913 + ... + 623870295.

It is an arithmetic number, because the mean of its divisors is an integer number (2164216320).

Almost surely, 2^238942249832 is an apocalyptic number.

238942249832 is a gapful number since it is divisible by the number (22) 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 238942249832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277019688960).

238942249832 is an abundant number, since it is smaller than the sum of its proper divisors (315097128088).

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

238942249832 is a wasteful number, since it uses less digits than its factorization.

238942249832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 56.

The spelling of 238942249832 in words is "two hundred thirty-eight billion, nine hundred forty-two million, two hundred forty-nine thousand, eight hundred thirty-two".