312414060414213 has 24 divisors (see below), whose sum is σ = 457621909804800. Its totient is φ = 205341985185120.

The previous prime is 312414060414151. The next prime is 312414060414251.

It is a happy number.

312414060414213 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 1 + 4 + 0 + 604 + 1 + 42 + 1 + 3 = 666.

312414060414213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312414060414213 - 2⁶ = 312414060414149 is a prime.

It is a super-2 number, since 2×312414060414213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312414060434213) 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, 407895588 + ... + 408660786.

It is an arithmetic number, because the mean of its divisors is an integer number (19067579575200).

Almost surely, 2^{312414060414213} is an apocalyptic number.

It is an amenable number.

312414060414213 is a deficient number, since it is larger than the sum of its proper divisors (145207849390587).

312414060414213 is a wasteful number, since it uses less digits than its factorization.

312414060414213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404209 (or 1404206 counting only the distinct ones).

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

The spelling of 312414060414213 in words is "three hundred twelve trillion, four hundred fourteen billion, sixty million, four hundred fourteen thousand, two hundred thirteen".