4313314505344 has 128 divisors (see below), whose sum is σ = 9528516925200. Its totient is φ = 1931966152704.

The previous prime is 4313314505323. The next prime is 4313314505363. The reversal of 4313314505344 is 4435054133134.

It can be written as a sum of positive squares in 8 ways, for example, as 975970119744 + 3337344385600 = 987912^2 + 1826840^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4313314505297 and 4313314505306.

It is an unprimeable number.

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, 23859904 + ... + 24040000.

Almost surely, 2^{4313314505344} 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 4313314505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764258462600).

4313314505344 is an abundant number, since it is smaller than the sum of its proper divisors (5215202419856).

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

4313314505344 is a wasteful number, since it uses less digits than its factorization.

4313314505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180550 (or 180538 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 4313314505344 its reverse (4435054133134), we get a palindrome (8748368638478).

The spelling of 4313314505344 in words is "four trillion, three hundred thirteen billion, three hundred fourteen million, five hundred five thousand, three hundred forty-four".