329482135008 has 432 divisors, whose sum is σ = 1055517765120. Its totient is φ = 97341004800.

The previous prime is 329482135007. The next prime is 329482135013. The reversal of 329482135008 is 800531284923.

329482135008 is a `hidden beast` number, since 3 + 294 + 8 + 2 + 1 + 350 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329482135007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 209726863 + ... + 209728433.

It is an arithmetic number, because the mean of its divisors is an integer number (2443328160).

Almost surely, 2^329482135008 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 329482135008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527758882560).

329482135008 is an abundant number, since it is smaller than the sum of its proper divisors (726035630112).

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

329482135008 is a wasteful number, since it uses less digits than its factorization.

329482135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 329482135008 in words is "three hundred twenty-nine billion, four hundred eighty-two million, one hundred thirty-five thousand, eight".