329216446656 has 784 divisors, whose sum is σ = 1074597027840. Its totient is φ = 99754260480.

The previous prime is 329216446651. The next prime is 329216446799. The reversal of 329216446656 is 656644612923.

329216446656 is a `hidden beast` number, since 32 + 92 + 1 + 64 + 466 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (329216446651) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1971355885 + ... + 1971356051.

Almost surely, 2^329216446656 is an apocalyptic number.

329216446656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329216446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537298513920).

329216446656 is an abundant number, since it is smaller than the sum of its proper divisors (745380581184).

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

329216446656 is a wasteful number, since it uses less digits than its factorization.

329216446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 329216446656 in words is "three hundred twenty-nine billion, two hundred sixteen million, four hundred forty-six thousand, six hundred fifty-six".