312344034444017 has 2 divisors, whose sum is σ = 312344034444018. Its totient is φ = 312344034444016.

The previous prime is 312344034443983. The next prime is 312344034444047. The reversal of 312344034444017 is 710444430443213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253057591790656 + 59286442653361 = 15907784^2 + 7699769^2 .

It is a cyclic number.

It is not a de Polignac number, because 312344034444017 - 2¹⁸ = 312344034181873 is a prime.

It is not a weakly prime, because it can be changed into another prime (312344034444047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156172017222008 + 156172017222009.

It is an arithmetic number, because the mean of its divisors is an integer number (156172017222009).

Almost surely, 2^{312344034444017} is an apocalyptic number.

It is an amenable number.

312344034444017 is a deficient number, since it is larger than the sum of its proper divisors (1).

312344034444017 is an equidigital number, since it uses as much as digits as its factorization.

312344034444017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1548288, while the sum is 44.

The spelling of 312344034444017 in words is "three hundred twelve trillion, three hundred forty-four billion, thirty-four million, four hundred forty-four thousand, seventeen".