329339402161 has 81 divisors (see below), whose sum is σ = 437828502657. Its totient is φ = 246814740480.

The previous prime is 329339402141. The next prime is 329339402177. The reversal of 329339402161 is 161204933923.

The square root of 329339402161 is 573881.

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

It can be written as a sum of positive squares in 4 ways, for example, as 131808933025 + 197530469136 = 363055^2 + 444444^2 .

It is not a de Polignac number, because 329339402161 - 2⁵ = 329339402129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (329339402101) 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, 1281476145 + ... + 1281476401.

Almost surely, 2^329339402161 is an apocalyptic number.

329339402161 is the 573881-st square number.

329339402161 is the 286941-st centered octagonal number.

It is an amenable number.

329339402161 is a deficient number, since it is larger than the sum of its proper divisors (108489100496).

329339402161 is an equidigital number, since it uses as much as digits as its factorization.

329339402161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 329339402161 in words is "three hundred twenty-nine billion, three hundred thirty-nine million, four hundred two thousand, one hundred sixty-one".