312413114014326 has 192 divisors, whose sum is σ = 758167625517120. Its totient is φ = 92313130291200.

The previous prime is 312413114014231. The next prime is 312413114014327. The reversal of 312413114014326 is 623410411314213.

312413114014326 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 1 + 311 + 4 + 0 + 14 + 326 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413114014327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 970515301 + ... + 970837151.

It is an arithmetic number, because the mean of its divisors is an integer number (3948789716235).

Almost surely, 2^{312413114014326} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312413114014326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379083812758560).

312413114014326 is an abundant number, since it is smaller than the sum of its proper divisors (445754511502794).

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

312413114014326 is a wasteful number, since it uses less digits than its factorization.

312413114014326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322671 (or 322668 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 312413114014326 its reverse (623410411314213), we get a palindrome (935823525328539).

The spelling of 312413114014326 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred fourteen million, fourteen thousand, three hundred twenty-six".