334521141125433 has 64 divisors (see below), whose sum is σ = 510597609891840. Its totient is φ = 193458773302272.

The previous prime is 334521141125363. The next prime is 334521141125447.

334521141125433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334521141125433 - 2¹⁰ = 334521141124409 is a prime.

It is a super-2 number, since 2×334521141125433² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334521141125453) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 457226316 + ... + 457957362.

It is an arithmetic number, because the mean of its divisors is an integer number (7978087654560).

Almost surely, 2^{334521141125433} is an apocalyptic number.

It is an amenable number.

334521141125433 is a deficient number, since it is larger than the sum of its proper divisors (176076468766407).

334521141125433 is a wasteful number, since it uses less digits than its factorization.

334521141125433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743886.

The product of its digits is 518400, while the sum is 42.

The spelling of 334521141125433 in words is "three hundred thirty-four trillion, five hundred twenty-one billion, one hundred forty-one million, one hundred twenty-five thousand, four hundred thirty-three".