11185666872041 has 2 divisors, whose sum is σ = 11185666872042. Its totient is φ = 11185666872040.

The previous prime is 11185666871987. The next prime is 11185666872053. The reversal of 11185666872041 is 14027866658111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7884886464016 + 3300780408025 = 2808004^2 + 1816805^2 .

It is a cyclic number.

It is not a de Polignac number, because 11185666872041 - 2¹⁰ = 11185666871017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11185666872841) 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, 5592833436020 + 5592833436021.

It is an arithmetic number, because the mean of its divisors is an integer number (5592833436021).

Almost surely, 2^{11185666872041} is an apocalyptic number.

It is an amenable number.

11185666872041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11185666872041 is an equidigital number, since it uses as much as digits as its factorization.

11185666872041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 11185666872041 in words is "eleven trillion, one hundred eighty-five billion, six hundred sixty-six million, eight hundred seventy-two thousand, forty-one".