16819162310417 has 2 divisors, whose sum is σ = 16819162310418. Its totient is φ = 16819162310416.

The previous prime is 16819162310371. The next prime is 16819162310453. The reversal of 16819162310417 is 71401326191861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9471153970576 + 7348008339841 = 3077524^2 + 2710721^2 .

It is a cyclic number.

It is not a de Polignac number, because 16819162310417 - 2²⁸ = 16818893874961 is a prime.

It is not a weakly prime, because it can be changed into another prime (16819162312417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8409581155208 + 8409581155209.

It is an arithmetic number, because the mean of its divisors is an integer number (8409581155209).

Almost surely, 2^{16819162310417} is an apocalyptic number.

It is an amenable number.

16819162310417 is a deficient number, since it is larger than the sum of its proper divisors (1).

16819162310417 is an equidigital number, since it uses as much as digits as its factorization.

16819162310417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 16819162310417 in words is "sixteen trillion, eight hundred nineteen billion, one hundred sixty-two million, three hundred ten thousand, four hundred seventeen".