329684969125 has 32 divisors (see below), whose sum is σ = 418850486496. Its totient is φ = 259015680000.

The previous prime is 329684969083. The next prime is 329684969137. The reversal of 329684969125 is 521969486923.

It is a Cunningham number, because it is equal to 574182²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 313457776129 + 16227192996 = 559873^2 + 127386^2 .

It is not a de Polignac number, because 329684969125 - 2¹¹ = 329684967077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4853899 + ... + 4921351.

It is an arithmetic number, because the mean of its divisors is an integer number (13089077703).

Almost surely, 2^329684969125 is an apocalyptic number.

It is an amenable number.

329684969125 is a deficient number, since it is larger than the sum of its proper divisors (89165517371).

329684969125 is an equidigital number, since it uses as much as digits as its factorization.

329684969125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68170 (or 68160 counting only the distinct ones).

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

The spelling of 329684969125 in words is "three hundred twenty-nine billion, six hundred eighty-four million, nine hundred sixty-nine thousand, one hundred twenty-five".