344325031504113 has 64 divisors (see below), whose sum is σ = 542493488275200. Its totient is φ = 191938723061760.

The previous prime is 344325031504081. The next prime is 344325031504177. The reversal of 344325031504113 is 311405130523443.

It is not a de Polignac number, because 344325031504113 - 2⁵ = 344325031504081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344325031500113) 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, 34104058 + ... + 43031811.

It is an arithmetic number, because the mean of its divisors is an integer number (8476460754300).

Almost surely, 2^{344325031504113} is an apocalyptic number.

344325031504113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

344325031504113 is a deficient number, since it is larger than the sum of its proper divisors (198168456771087).

344325031504113 is a wasteful number, since it uses less digits than its factorization.

344325031504113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77136082.

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 344325031504113 in words is "three hundred forty-four trillion, three hundred twenty-five billion, thirty-one million, five hundred four thousand, one hundred thirteen".