1166188816611 has 256 divisors, whose sum is σ = 2320333209600. Its totient is φ = 561774445056.

The previous prime is 1166188816453. The next prime is 1166188816613.

1166188816611 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 8 + 8 + 8 + 16 + 611 = 666.

1166188816611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1166188816611 - 2¹⁵ = 1166188783843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1166188816613) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147000801 + ... + 147008733.

It is an arithmetic number, because the mean of its divisors is an integer number (9063801600).

Almost surely, 2^{1166188816611} is an apocalyptic number.

1166188816611 is a deficient number, since it is larger than the sum of its proper divisors (1154144392989).

1166188816611 is a wasteful number, since it uses less digits than its factorization.

1166188816611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8089 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The spelling of 1166188816611 in words is "one trillion, one hundred sixty-six billion, one hundred eighty-eight million, eight hundred sixteen thousand, six hundred eleven".