312413114014344 has 96 divisors (see below), whose sum is σ = 966999219750720. Its totient is φ = 89260312998528.

The previous prime is 312413114014327. The next prime is 312413114014349. The reversal of 312413114014344 is 443410411314213.

312413114014344 is a `hidden beast` number, since 3 + 1 + 241 + 3 + 1 + 1 + 401 + 4 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312413114014299 and 312413114014308.

It is not an unprimeable number, because it can be changed into a prime (312413114014349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79356702 + ... + 83200434.

It is an arithmetic number, because the mean of its divisors is an integer number (10072908539070).

Almost surely, 2^{312413114014344} is an apocalyptic number.

It is an amenable number.

312413114014344 is an abundant number, since it is smaller than the sum of its proper divisors (654586105736376).

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

312413114014344 is a wasteful number, since it uses less digits than its factorization.

312413114014344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005019 (or 4005012 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 312413114014344 its reverse (443410411314213), we get a palindrome (755823525328557).

The spelling of 312413114014344 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred fourteen million, fourteen thousand, three hundred forty-four".