111661606166111 has 32 divisors (see below), whose sum is σ = 115664316837888. Its totient is φ = 107684844664320.

The previous prime is 111661606166057. The next prime is 111661606166141.

111661606166111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 111661606166111 - 2³⁴ = 111644426296927 is a prime.

It is a super-2 number, since 2×111661606166111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111661606166141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26131897271 + ... + 26131901543.

It is an arithmetic number, because the mean of its divisors is an integer number (3614509901184).

Almost surely, 2^{111661606166111} is an apocalyptic number.

111661606166111 is a deficient number, since it is larger than the sum of its proper divisors (4002710671777).

111661606166111 is a wasteful number, since it uses less digits than its factorization.

111661606166111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191.

The product of its (nonzero) digits is 46656, while the sum is 44.

The spelling of 111661606166111 in words is "one hundred eleven trillion, six hundred sixty-one billion, six hundred six million, one hundred sixty-six thousand, one hundred eleven".