238339532186001 has 49 divisors (see below), whose sum is σ = 361703704044649. Its totient is φ = 156978647704836.

The previous prime is 238339532185967. The next prime is 238339532186039. The reversal of 238339532186001 is 100681235933832.

The square root of 238339532186001 is 15438249.

The cubic root of 238339532186001 is 62001.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

238339532186001 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 3 + 9 + 5 + 3 + 21 + 8 + 600 + 1 = 666.

238339532186001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238339532186001 - 2³¹ = 238337384702353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238339532136001) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 2871560628706 + ... + 2871560628788.

Almost surely, 2^{238339532186001} is an apocalyptic number.

238339532186001 is the 15438249-th square number.

238339532186001 is the 7719125-th centered octagonal number.

It is an amenable number.

238339532186001 is a deficient number, since it is larger than the sum of its proper divisors (123364171858648).

238339532186001 is an frugal number, since it uses more digits than its factorization.

238339532186001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 238339532186001 in words is "two hundred thirty-eight trillion, three hundred thirty-nine billion, five hundred thirty-two million, one hundred eighty-six thousand, one".