329052097640448 has 2880 divisors, whose sum is σ = 1250528029470720. Its totient is φ = 84383047876608.

The previous prime is 329052097640407. The next prime is 329052097640489. The reversal of 329052097640448 is 844046790250923.

329052097640448 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 520 + 9 + 7 + 64 + 0 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (329052097640407) and next prime (329052097640489).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1475569944465 + ... + 1475569944687.

It is an arithmetic number, because the mean of its divisors is an integer number (434211121344).

Almost surely, 2^{329052097640448} 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 329052097640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625264014735360).

329052097640448 is an abundant number, since it is smaller than the sum of its proper divisors (921475931830272).

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

329052097640448 is a wasteful number, since it uses less digits than its factorization.

329052097640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 329052097640448 in words is "three hundred twenty-nine trillion, fifty-two billion, ninety-seven million, six hundred forty thousand, four hundred forty-eight".