11186677668111 has 16 divisors (see below), whose sum is σ = 16294161968640. Its totient is φ = 6770375141120.

The previous prime is 11186677668083. The next prime is 11186677668181.

It is a happy number.

11186677668111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11186677668111 - 2¹⁷ = 11186677537039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11186677668181) 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 in 15 ways as a sum of consecutive naturals, for example, 235713570 + ... + 235761023.

It is an arithmetic number, because the mean of its divisors is an integer number (1018385123040).

Almost surely, 2^{11186677668111} is an apocalyptic number.

11186677668111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11186677668111 is a deficient number, since it is larger than the sum of its proper divisors (5107484300529).

11186677668111 is a wasteful number, since it uses less digits than its factorization.

11186677668111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471475326.

The product of its digits is 4064256, while the sum is 60.

The spelling of 11186677668111 in words is "eleven trillion, one hundred eighty-six billion, six hundred seventy-seven million, six hundred sixty-eight thousand, one hundred eleven".