344834253105 has 64 divisors (see below), whose sum is σ = 567502848000. Its totient is φ = 178702739712.

The previous prime is 344834253091. The next prime is 344834253149. The reversal of 344834253105 is 501352438443.

It is not a de Polignac number, because 344834253105 - 2⁸ = 344834252849 is a prime.

It is a super-2 number, since 2×344834253105² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110913291 + ... + 110916399.

It is an arithmetic number, because the mean of its divisors is an integer number (8867232000).

Almost surely, 2^344834253105 is an apocalyptic number.

It is an amenable number.

344834253105 is a deficient number, since it is larger than the sum of its proper divisors (222668594895).

344834253105 is a wasteful number, since it uses less digits than its factorization.

344834253105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 344834253105 in words is "three hundred forty-four billion, eight hundred thirty-four million, two hundred fifty-three thousand, one hundred five".