11111167661 has 16 divisors (see below), whose sum is σ = 12249439488. Its totient is φ = 9994392000.

The previous prime is 11111167651. The next prime is 11111167663. The reversal of 11111167661 is 16676111111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11111167661 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111167663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538671 + ... + 2543043.

It is an arithmetic number, because the mean of its divisors is an integer number (765589968).

Almost surely, 2^11111167661 is an apocalyptic number.

11111167661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111167661 is a deficient number, since it is larger than the sum of its proper divisors (1138271827).

11111167661 is a wasteful number, since it uses less digits than its factorization.

11111167661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772.

The product of its digits is 1512, while the sum is 32.

Adding to 11111167661 its reverse (16676111111), we get a palindrome (27787278772).

The spelling of 11111167661 in words is "eleven billion, one hundred eleven million, one hundred sixty-seven thousand, six hundred sixty-one".