330032000111000 has 384 divisors, whose sum is σ = 899024052326400. Its totient is φ = 112997589408000.

The previous prime is 330032000110949. The next prime is 330032000111027. The reversal of 330032000111000 is 111000230033.

It is a super-2 number, since 2×330032000111000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374296649 + ... + 375177351.

It is an arithmetic number, because the mean of its divisors is an integer number (2341208469600).

Almost surely, 2^{330032000111000} 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 330032000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449512026163200).

330032000111000 is an abundant number, since it is smaller than the sum of its proper divisors (568992052215400).

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

330032000111000 is a wasteful number, since it uses less digits than its factorization.

330032000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880928 (or 880903 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 330032000111000 its reverse (111000230033), we get a palindrome (330143000341033).

The spelling of 330032000111000 in words is "three hundred thirty trillion, thirty-two billion, one hundred eleven thousand".