329192441562961 has 8 divisors (see below), whose sum is σ = 331785798278400. Its totient is φ = 326604205000752.

The previous prime is 329192441562937. The next prime is 329192441562967. The reversal of 329192441562961 is 169265144291923.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-329192441562961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329192441562893 and 329192441562902.

It is not an unprimeable number, because it can be changed into a prime (329192441562967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1279909215 + ... + 1280166388.

It is an arithmetic number, because the mean of its divisors is an integer number (41473224784800).

Almost surely, 2^{329192441562961} is an apocalyptic number.

It is an amenable number.

329192441562961 is a deficient number, since it is larger than the sum of its proper divisors (2593356715439).

329192441562961 is a wasteful number, since it uses less digits than its factorization.

329192441562961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560076615.

The product of its digits is 50388480, while the sum is 64.

The spelling of 329192441562961 in words is "three hundred twenty-nine trillion, one hundred ninety-two billion, four hundred forty-one million, five hundred sixty-two thousand, nine hundred sixty-one".