21661699809917 has 2 divisors, whose sum is σ = 21661699809918. Its totient is φ = 21661699809916.

The previous prime is 21661699809857. The next prime is 21661699809931. The reversal of 21661699809917 is 71990899616612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20396369542756 + 1265330267161 = 4516234^2 + 1124869^2 .

It is a cyclic number.

It is not a de Polignac number, because 21661699809917 - 2¹⁴ = 21661699793533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21661699805917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10830849904958 + 10830849904959.

It is an arithmetic number, because the mean of its divisors is an integer number (10830849904959).

Almost surely, 2^{21661699809917} is an apocalyptic number.

It is an amenable number.

21661699809917 is a deficient number, since it is larger than the sum of its proper divisors (1).

21661699809917 is an equidigital number, since it uses as much as digits as its factorization.

21661699809917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158723712, while the sum is 74.

The spelling of 21661699809917 in words is "twenty-one trillion, six hundred sixty-one billion, six hundred ninety-nine million, eight hundred nine thousand, nine hundred seventeen".