5134313640344 has 256 divisors, whose sum is σ = 12006193766400. Its totient is φ = 2008425627648.

The previous prime is 5134313640299. The next prime is 5134313640349. The reversal of 5134313640344 is 4430463134315.

It is a super-2 number, since 2×5134313640344² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134313640349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2732470397 + ... + 2732472275.

It is an arithmetic number, because the mean of its divisors is an integer number (46899194400).

Almost surely, 2^{5134313640344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134313640344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003096883200).

5134313640344 is an abundant number, since it is smaller than the sum of its proper divisors (6871880126056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5134313640344 is a wasteful number, since it uses less digits than its factorization.

5134313640344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

Adding to 5134313640344 its reverse (4430463134315), we get a palindrome (9564776774659).

The spelling of 5134313640344 in words is "five trillion, one hundred thirty-four billion, three hundred thirteen million, six hundred forty thousand, three hundred forty-four".