329480854956 has 336 divisors, whose sum is σ = 983260981248. Its totient is φ = 95654131200.

The previous prime is 329480854931. The next prime is 329480854991. The reversal of 329480854956 is 659458084923.

329480854956 is a `hidden beast` number, since 3 + 2 + 9 + 4 + 80 + 8 + 549 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 329480854893 and 329480854902.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 102417060 + ... + 102420276.

It is an arithmetic number, because the mean of its divisors is an integer number (2926371968).

Almost surely, 2^329480854956 is an apocalyptic number.

329480854956 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 329480854956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491630490624).

329480854956 is an abundant number, since it is smaller than the sum of its proper divisors (653780126292).

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

329480854956 is a wasteful number, since it uses less digits than its factorization.

329480854956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 329480854956 in words is "three hundred twenty-nine billion, four hundred eighty million, eight hundred fifty-four thousand, nine hundred fifty-six".