329853659872 has 96 divisors (see below), whose sum is σ = 727847285760. Its totient is φ = 145863482880.

The previous prime is 329853659801. The next prime is 329853659887. The reversal of 329853659872 is 278956358923.

It is a junction number, because it is equal to n+sod(n) for n = 329853659798 and 329853659807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2703154 + ... + 2822542.

It is an arithmetic number, because the mean of its divisors is an integer number (7581742560).

Almost surely, 2^329853659872 is an apocalyptic number.

329853659872 is a gapful number since it is divisible by the number (32) 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 329853659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363923642880).

329853659872 is an abundant number, since it is smaller than the sum of its proper divisors (397993625888).

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

329853659872 is a wasteful number, since it uses less digits than its factorization.

329853659872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119624 (or 119616 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 67.

The spelling of 329853659872 in words is "three hundred twenty-nine billion, eight hundred fifty-three million, six hundred fifty-nine thousand, eight hundred seventy-two".