330343122111432 has 256 divisors, whose sum is σ = 923837931878400. Its totient is φ = 97822503014400.

The previous prime is 330343122111383. The next prime is 330343122111433. The reversal of 330343122111432 is 234111221343033.

It is a junction number, because it is equal to n+sod(n) for n = 330343122111393 and 330343122111402.

It is not an unprimeable number, because it can be changed into a prime (330343122111433) 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 63 ways as a sum of consecutive naturals, for example, 6071005858 + ... + 6071060270.

It is an arithmetic number, because the mean of its divisors is an integer number (3608741921400).

Almost surely, 2^{330343122111432} 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 330343122111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461918965939200).

330343122111432 is an abundant number, since it is smaller than the sum of its proper divisors (593494809766968).

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

330343122111432 is a wasteful number, since it uses less digits than its factorization.

330343122111432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57316 (or 57312 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 330343122111432 its reverse (234111221343033), we get a palindrome (564454343454465).

The spelling of 330343122111432 in words is "three hundred thirty trillion, three hundred forty-three billion, one hundred twenty-two million, one hundred eleven thousand, four hundred thirty-two".