329000111101000 has 128 divisors (see below), whose sum is σ = 780430540780800. Its totient is φ = 129793270924800.

The previous prime is 329000111100971. The next prime is 329000111101007. The reversal of 329000111101000 is 101111000923.

It is not an unprimeable number, because it can be changed into a prime (329000111101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3658642039 + ... + 3658731961.

It is an arithmetic number, because the mean of its divisors is an integer number (6097113599850).

Almost surely, 2^{329000111101000} 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 329000111101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390215270390400).

329000111101000 is an abundant number, since it is smaller than the sum of its proper divisors (451430429679800).

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

329000111101000 is a wasteful number, since it uses less digits than its factorization.

329000111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140136 (or 140122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 329000111101000 its reverse (101111000923), we get a palindrome (329101222101923).

The spelling of 329000111101000 in words is "three hundred twenty-nine trillion, one hundred eleven million, one hundred one thousand".