238666666832 has 120 divisors (see below), whose sum is σ = 543120316200. Its totient is φ = 101165137920.

The previous prime is 238666666829. The next prime is 238666666841.

238666666832 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 127460424256 + 111206242576 = 357016^2 + 333476^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3554144 + ... + 3620672.

It is an arithmetic number, because the mean of its divisors is an integer number (4526002635).

Almost surely, 2^238666666832 is an apocalyptic number.

238666666832 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 238666666832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271560158100).

238666666832 is an abundant number, since it is smaller than the sum of its proper divisors (304453649368).

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

238666666832 is a wasteful number, since it uses less digits than its factorization.

238666666832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66685 (or 66668 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 62.

The spelling of 238666666832 in words is "two hundred thirty-eight billion, six hundred sixty-six million, six hundred sixty-six thousand, eight hundred thirty-two".