11166011011661 has 12 divisors (see below), whose sum is σ = 12281913302400. Its totient is φ = 10143864795240.

The previous prime is 11166011011633. The next prime is 11166011011663. The reversal of 11166011011661 is 16611011066111.

11166011011661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11166011011661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166011011663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31890191 + ... + 32238428.

It is an arithmetic number, because the mean of its divisors is an integer number (1023492775200).

Almost surely, 2^{11166011011661} is an apocalyptic number.

11166011011661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11166011011661 is a deficient number, since it is larger than the sum of its proper divisors (1115902290739).

11166011011661 is a wasteful number, since it uses less digits than its factorization.

11166011011661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64130080 (or 64130069 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

Adding to 11166011011661 its reverse (16611011066111), we get a palindrome (27777022077772).

The spelling of 11166011011661 in words is "eleven trillion, one hundred sixty-six billion, eleven million, eleven thousand, six hundred sixty-one".