31144216306417 has 2 divisors, whose sum is σ = 31144216306418. Its totient is φ = 31144216306416.

The previous prime is 31144216306361. The next prime is 31144216306451. The reversal of 31144216306417 is 71460361244113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21947013735696 + 9197202570721 = 4684764^2 + 3032689^2 .

It is a cyclic number.

It is not a de Polignac number, because 31144216306417 - 2³⁹ = 30594460492529 is a prime.

It is not a weakly prime, because it can be changed into another prime (31144216306457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15572108153208 + 15572108153209.

It is an arithmetic number, because the mean of its divisors is an integer number (15572108153209).

Almost surely, 2^{31144216306417} is an apocalyptic number.

It is an amenable number.

31144216306417 is a deficient number, since it is larger than the sum of its proper divisors (1).

31144216306417 is an equidigital number, since it uses as much as digits as its factorization.

31144216306417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 31144216306417 in words is "thirty-one trillion, one hundred forty-four billion, two hundred sixteen million, three hundred six thousand, four hundred seventeen".