344041217617 has 2 divisors, whose sum is σ = 344041217618. Its totient is φ = 344041217616.

The previous prime is 344041217581. The next prime is 344041217657. The reversal of 344041217617 is 716712140443.

It is an a-pointer prime, because the next prime (344041217657) can be obtained adding 344041217617 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254953295041 + 89087922576 = 504929^2 + 298476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-344041217617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344041217617.

It is not a weakly prime, because it can be changed into another prime (344041217657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172020608808 + 172020608809.

It is an arithmetic number, because the mean of its divisors is an integer number (172020608809).

Almost surely, 2^344041217617 is an apocalyptic number.

It is an amenable number.

344041217617 is a deficient number, since it is larger than the sum of its proper divisors (1).

344041217617 is an equidigital number, since it uses as much as digits as its factorization.

344041217617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 344041217617 in words is "three hundred forty-four billion, forty-one million, two hundred seventeen thousand, six hundred seventeen".