330242020123314 has 64 divisors (see below), whose sum is σ = 720048719714688. Its totient is φ = 100362396710400.

The previous prime is 330242020123237. The next prime is 330242020123339. The reversal of 330242020123314 is 413321020242033.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18062134 + ... + 31412174.

It is an arithmetic number, because the mean of its divisors is an integer number (11250761245542).

Almost surely, 2^{330242020123314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330242020123314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360024359857344).

330242020123314 is an abundant number, since it is smaller than the sum of its proper divisors (389806699591374).

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

330242020123314 is a wasteful number, since it uses less digits than its factorization.

330242020123314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353963.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 330242020123314 its reverse (413321020242033), we get a palindrome (743563040365347).

The spelling of 330242020123314 in words is "three hundred thirty trillion, two hundred forty-two billion, twenty million, one hundred twenty-three thousand, three hundred fourteen".