11185603665617 has 2 divisors, whose sum is σ = 11185603665618. Its totient is φ = 11185603665616.

The previous prime is 11185603665589. The next prime is 11185603665629. The reversal of 11185603665617 is 71656630658111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7095356291521 + 4090247374096 = 2663711^2 + 2022436^2 .

It is a cyclic number.

It is not a de Polignac number, because 11185603665617 - 2⁸ = 11185603665361 is a prime.

It is not a weakly prime, because it can be changed into another prime (11185603665637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5592801832808 + 5592801832809.

It is an arithmetic number, because the mean of its divisors is an integer number (5592801832809).

Almost surely, 2^{11185603665617} is an apocalyptic number.

It is an amenable number.

11185603665617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11185603665617 is an equidigital number, since it uses as much as digits as its factorization.

11185603665617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 56.

The spelling of 11185603665617 in words is "eleven trillion, one hundred eighty-five billion, six hundred three million, six hundred sixty-five thousand, six hundred seventeen".