312344411412341 has 48 divisors (see below), whose sum is σ = 398793878807040. Its totient is φ = 241898504692320.

The previous prime is 312344411412281. The next prime is 312344411412353. The reversal of 312344411412341 is 143214114443213.

It is not a de Polignac number, because 312344411412341 - 2¹⁴ = 312344411395957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312344411412295 and 312344411412304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312344411412391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183140456 + ... + 184838078.

It is an arithmetic number, because the mean of its divisors is an integer number (8308205808480).

Almost surely, 2^{312344411412341} is an apocalyptic number.

It is an amenable number.

312344411412341 is a deficient number, since it is larger than the sum of its proper divisors (86449467394699).

312344411412341 is a wasteful number, since it uses less digits than its factorization.

312344411412341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699734 (or 1699727 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

Adding to 312344411412341 its reverse (143214114443213), we get a palindrome (455558525855554).

The spelling of 312344411412341 in words is "three hundred twelve trillion, three hundred forty-four billion, four hundred eleven million, four hundred twelve thousand, three hundred forty-one".