330243404342033 has 16 divisors (see below), whose sum is σ = 408516636084480. Its totient is φ = 259965132025536.

The previous prime is 330243404341937. The next prime is 330243404342041.

330243404342033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330243404342033 - 2¹⁴ = 330243404325649 is a prime.

It is a super-2 number, since 2×330243404342033² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330243404344033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9210764813 + ... + 9210800666.

It is an arithmetic number, because the mean of its divisors is an integer number (25532289755280).

Almost surely, 2^{330243404342033} is an apocalyptic number.

It is an amenable number.

330243404342033 is a deficient number, since it is larger than the sum of its proper divisors (78273231742447).

330243404342033 is a wasteful number, since it uses less digits than its factorization.

330243404342033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18421565696.

The product of its (nonzero) digits is 746496, while the sum is 38.

It can be divided in two parts, 33024340 and 4342033, that added together give a palindrome (37366373).

The spelling of 330243404342033 in words is "three hundred thirty trillion, two hundred forty-three billion, four hundred four million, three hundred forty-two thousand, thirty-three".