11006640112049 has 2 divisors, whose sum is σ = 11006640112050. Its totient is φ = 11006640112048.

The previous prime is 11006640111977. The next prime is 11006640112109. The reversal of 11006640112049 is 94021104660011.

It is a happy number.

11006640112049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6906594241600 + 4100045870449 = 2628040^2 + 2024857^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11006640112049 is a prime.

It is a super-2 number, since 2×11006640112049² (a number of 27 digits) contains 22 as substring.

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 (11006640112249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503320056024 + 5503320056025.

It is an arithmetic number, because the mean of its divisors is an integer number (5503320056025).

Almost surely, 2^{11006640112049} is an apocalyptic number.

It is an amenable number.

11006640112049 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006640112049 is an equidigital number, since it uses as much as digits as its factorization.

11006640112049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 11006640112049 in words is "eleven trillion, six billion, six hundred forty million, one hundred twelve thousand, forty-nine".