329152648406048 has 48 divisors (see below), whose sum is σ = 660285749775960. Its totient is φ = 161461402791936.

The previous prime is 329152648405943. The next prime is 329152648406059. The reversal of 329152648406048 is 840604846251923.

It can be written as a sum of positive squares in 4 ways, for example, as 304270389449104 + 24882258956944 = 17443348^2 + 4988212^2 .

It is an unprimeable number.

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, 22424618 + ... + 34075926.

Almost surely, 2^{329152648406048} is an apocalyptic number.

It is an amenable number.

329152648406048 is an abundant number, since it is smaller than the sum of its proper divisors (331133101369912).

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

329152648406048 is a wasteful number, since it uses less digits than its factorization.

329152648406048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668029 (or 11668021 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 62.

The spelling of 329152648406048 in words is "three hundred twenty-nine trillion, one hundred fifty-two billion, six hundred forty-eight million, four hundred six thousand, forty-eight".