344413314442313 has 32 divisors (see below), whose sum is σ = 354983841619200. Its totient is φ = 334032549385216.

The previous prime is 344413314442291. The next prime is 344413314442333. The reversal of 344413314442313 is 313244413314443.

It is a cyclic number.

It is not a de Polignac number, because 344413314442313 - 2²⁸ = 344413046006857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344413314442333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3723783773 + ... + 3723876261.

It is an arithmetic number, because the mean of its divisors is an integer number (11093245050600).

Almost surely, 2^{344413314442313} is an apocalyptic number.

It is an amenable number.

344413314442313 is a deficient number, since it is larger than the sum of its proper divisors (10570527176887).

344413314442313 is a wasteful number, since it uses less digits than its factorization.

344413314442313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95521.

The product of its digits is 1990656, while the sum is 44.

Adding to 344413314442313 its reverse (313244413314443), we get a palindrome (657657727756756).

The spelling of 344413314442313 in words is "three hundred forty-four trillion, four hundred thirteen billion, three hundred fourteen million, four hundred forty-two thousand, three hundred thirteen".