329846908329 has 9 divisors (see below), whose sum is σ = 476448022999. Its totient is φ = 219896790240.

The previous prime is 329846908297. The next prime is 329846908331. The reversal of 329846908329 is 923809648923.

The square root of 329846908329 is 574323.

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

329846908329 is a `hidden beast` number, since 3 + 2 + 98 + 469 + 0 + 83 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 259515868329 + 70331040000 = 509427^2 + 265200^2 .

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

It is not a de Polignac number, because 329846908329 - 2⁵ = 329846908297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329846908129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1627249 + ... + 1818689.

Almost surely, 2^329846908329 is an apocalyptic number.

329846908329 is the 574323-rd square number.

329846908329 is the 287162-nd centered octagonal number.

It is an amenable number.

329846908329 is a deficient number, since it is larger than the sum of its proper divisors (146601114670).

329846908329 is an frugal number, since it uses more digits than its factorization.

329846908329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382888 (or 191444 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 329846908329 in words is "three hundred twenty-nine billion, eight hundred forty-six million, nine hundred eight thousand, three hundred twenty-nine".