329908938129 has 9 divisors (see below), whose sum is σ = 476537621833. Its totient is φ = 219938143332.

The previous prime is 329908938127. The next prime is 329908938187. The reversal of 329908938129 is 921839809923.

The square root of 329908938129 is 574377.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 329908938129 - 2¹ = 329908938127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329908938127) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1627402 + ... + 1818860.

Almost surely, 2^329908938129 is an apocalyptic number.

329908938129 is the 574377-th square number.

329908938129 is the 287189-th centered octagonal number.

It is an amenable number.

329908938129 is a deficient number, since it is larger than the sum of its proper divisors (146628683704).

329908938129 is an frugal number, since it uses more digits than its factorization.

329908938129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382924 (or 191462 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 329908938129 in words is "three hundred twenty-nine billion, nine hundred eight million, nine hundred thirty-eight thousand, one hundred twenty-nine".