6344317458353 has 54 divisors (see below), whose sum is σ = 7871886351126. Its totient is φ = 5080629974784.

The previous prime is 6344317458343. The next prime is 6344317458379. The reversal of 6344317458353 is 3538547134436.

It can be written as a sum of positive squares in 3 ways, for example, as 5438000130304 + 906317328049 = 2331952^2 + 952007^2 .

It is not a de Polignac number, because 6344317458353 - 2⁶ = 6344317458289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6344317458343) 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 53 ways as a sum of consecutive naturals, for example, 14321258150 + ... + 14321258592.

It is an arithmetic number, because the mean of its divisors is an integer number (145775673169).

Almost surely, 2^{6344317458353} is an apocalyptic number.

It is an amenable number.

6344317458353 is a deficient number, since it is larger than the sum of its proper divisors (1527568892773).

6344317458353 is an frugal number, since it uses more digits than its factorization.

6344317458353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 664 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 56.

The spelling of 6344317458353 in words is "six trillion, three hundred forty-four billion, three hundred seventeen million, four hundred fifty-eight thousand, three hundred fifty-three".