344117333513 has 32 divisors (see below), whose sum is σ = 370333735200. Its totient is φ = 319722743808.

The previous prime is 344117333509. The next prime is 344117333551. The reversal of 344117333513 is 315333711443.

It can be written as a sum of positive squares in 16 ways, for example, as 105126389824 + 238990943689 = 324232^2 + 488867^2 .

It is not a de Polignac number, because 344117333513 - 2² = 344117333509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344117333503) 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, 167615795 + ... + 167617847.

It is an arithmetic number, because the mean of its divisors is an integer number (11572929225).

Almost surely, 2^344117333513 is an apocalyptic number.

It is an amenable number.

344117333513 is a deficient number, since it is larger than the sum of its proper divisors (26216401687).

344117333513 is a wasteful number, since it uses less digits than its factorization.

344117333513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2492 counting only the distinct ones).

The product of its digits is 136080, while the sum is 38.

The spelling of 344117333513 in words is "three hundred forty-four billion, one hundred seventeen million, three hundred thirty-three thousand, five hundred thirteen".