329956334848 has 216 divisors, whose sum is σ = 791436979872. Its totient is φ = 136806469632.

The previous prime is 329956334837. The next prime is 329956334857. The reversal of 329956334848 is 848433659923.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 329956334848.

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 23 ways as a sum of consecutive naturals, for example, 57712086 + ... + 57717802.

It is an arithmetic number, because the mean of its divisors is an integer number (3664060092).

Almost surely, 2^329956334848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329956334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395718489936).

329956334848 is an abundant number, since it is smaller than the sum of its proper divisors (461480645024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329956334848 is a wasteful number, since it uses less digits than its factorization.

329956334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5876 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 64.

The spelling of 329956334848 in words is "three hundred twenty-nine billion, nine hundred fifty-six million, three hundred thirty-four thousand, eight hundred forty-eight".