239828616729 has 81 divisors (see below), whose sum is σ = 389396939607. Its totient is φ = 142168545792.

The previous prime is 239828616719. The next prime is 239828616733. The reversal of 239828616729 is 927616828932.

The square root of 239828616729 is 489723.

It is a perfect power (a square), and thus also a powerful number.

239828616729 is a `hidden beast` number, since 2 + 3 + 9 + 8 + 2 + 8 + 616 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 239681722329 + 146894400 = 489573^2 + 12120^2 .

It is not a de Polignac number, because 239828616729 - 2⁵ = 239828616697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (239828616719) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 553876497 + ... + 553876929.

Almost surely, 2^239828616729 is an apocalyptic number.

239828616729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

239828616729 is the 489723-rd square number.

239828616729 is the 244862-nd centered octagonal number.

It is an amenable number.

239828616729 is a deficient number, since it is larger than the sum of its proper divisors (149568322878).

239828616729 is an equidigital number, since it uses as much as digits as its factorization.

239828616729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 478 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 239828616729 in words is "two hundred thirty-nine billion, eight hundred twenty-eight million, six hundred sixteen thousand, seven hundred twenty-nine".