12354810816217 has 2 divisors, whose sum is σ = 12354810816218. Its totient is φ = 12354810816216.

The previous prime is 12354810816193. The next prime is 12354810816223. The reversal of 12354810816217 is 71261801845321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12123516189456 + 231294626761 = 3481884^2 + 480931^2 .

It is an emirp because it is prime and its reverse (71261801845321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12354810816217 is a prime.

It is a super-3 number, since 3×12354810816217³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12354810876217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6177405408108 + 6177405408109.

It is an arithmetic number, because the mean of its divisors is an integer number (6177405408109).

Almost surely, 2^{12354810816217} is an apocalyptic number.

It is an amenable number.

12354810816217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12354810816217 is an equidigital number, since it uses as much as digits as its factorization.

12354810816217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 12354810816217 in words is "twelve trillion, three hundred fifty-four billion, eight hundred ten million, eight hundred sixteen thousand, two hundred seventeen".