11006666161161 has 16 divisors (see below), whose sum is σ = 16311765977280. Its totient is φ = 6544844371520.

The previous prime is 11006666161147. The next prime is 11006666161217. The reversal of 11006666161161 is 16116166660011.

It is a cyclic number.

It is not a de Polignac number, because 11006666161161 - 2⁶ = 11006666161097 is a prime.

It is a super-2 number, since 2×11006666161161² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006666161261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3146558046 + ... + 3146561543.

It is an arithmetic number, because the mean of its divisors is an integer number (1019485373580).

Almost surely, 2^{11006666161161} is an apocalyptic number.

11006666161161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11006666161161 is a deficient number, since it is larger than the sum of its proper divisors (5305099816119).

11006666161161 is a wasteful number, since it uses less digits than its factorization.

11006666161161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293119656.

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 11006666161161 in words is "eleven trillion, six billion, six hundred sixty-six million, one hundred sixty-one thousand, one hundred sixty-one".