458004145313 has 16 divisors (see below), whose sum is σ = 538095667200. Its totient is φ = 384324238080.

The previous prime is 458004145279. The next prime is 458004145351. The reversal of 458004145313 is 313541400854.

It is a cyclic number.

It is not a de Polignac number, because 458004145313 - 2²² = 457999951009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (458004145373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5179808 + ... + 5267486.

It is an arithmetic number, because the mean of its divisors is an integer number (33630979200).

Almost surely, 2^458004145313 is an apocalyptic number.

It is an amenable number.

458004145313 is a deficient number, since it is larger than the sum of its proper divisors (80091521887).

458004145313 is a wasteful number, since it uses less digits than its factorization.

458004145313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124232.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 458004145313 in words is "four hundred fifty-eight billion, four million, one hundred forty-five thousand, three hundred thirteen".