330233242332033 has 24 divisors (see below), whose sum is σ = 488161357171488. Its totient is φ = 215007104898432.

The previous prime is 330233242332001. The next prime is 330233242332041.

330233242332033 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 3 + 324 + 2 + 3 + 320 + 3 + 3 = 666.

330233242332033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330233242332033 - 2⁵ = 330233242332001 is a prime.

It is a super-2 number, since 2×330233242332033² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330233242332053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53612760 + ... + 59454137.

It is an arithmetic number, because the mean of its divisors is an integer number (20340056548812).

Almost surely, 2^{330233242332033} is an apocalyptic number.

It is an amenable number.

330233242332033 is a deficient number, since it is larger than the sum of its proper divisors (157928114839455).

330233242332033 is a wasteful number, since it uses less digits than its factorization.

330233242332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113074493 (or 113074490 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 36.

The spelling of 330233242332033 in words is "three hundred thirty trillion, two hundred thirty-three billion, two hundred forty-two million, three hundred thirty-two thousand, thirty-three".