111166820244729 has 6 divisors (see below), whose sum is σ = 160574295909066. Its totient is φ = 74111213496480.

The previous prime is 111166820244721. The next prime is 111166820244793. The reversal of 111166820244729 is 927442028661111.

111166820244729 is a `hidden beast` number, since 1 + 1 + 1 + 166 + 8 + 2 + 0 + 2 + 4 + 472 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92241579645504 + 18925240599225 = 9604248^2 + 4350315^2 .

It is not a de Polignac number, because 111166820244729 - 2³ = 111166820244721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111166820244721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6175934458032 + ... + 6175934458049.

It is an arithmetic number, because the mean of its divisors is an integer number (26762382651511).

Almost surely, 2^{111166820244729} is an apocalyptic number.

It is an amenable number.

111166820244729 is a deficient number, since it is larger than the sum of its proper divisors (49407475664337).

111166820244729 is a wasteful number, since it uses less digits than its factorization.

111166820244729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351868916087 (or 12351868916084 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 111166820244729 in words is "one hundred eleven trillion, one hundred sixty-six billion, eight hundred twenty million, two hundred forty-four thousand, seven hundred twenty-nine".