334123323321433 has 32 divisors (see below), whose sum is σ = 342959804732160. Its totient is φ = 325427703229440.

The previous prime is 334123323321419. The next prime is 334123323321451.

334123323321433 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-334123323321433 is a prime.

It is a super-2 number, since 2×334123323321433² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334123323321493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18675488418 + ... + 18675506308.

It is an arithmetic number, because the mean of its divisors is an integer number (10717493897880).

Almost surely, 2^{334123323321433} is an apocalyptic number.

It is an amenable number.

334123323321433 is a deficient number, since it is larger than the sum of its proper divisors (8836481410727).

334123323321433 is a wasteful number, since it uses less digits than its factorization.

334123323321433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27777.

The product of its digits is 839808, while the sum is 40.

The spelling of 334123323321433 in words is "three hundred thirty-four trillion, one hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-one thousand, four hundred thirty-three".