111667411808857 has 2 divisors, whose sum is σ = 111667411808858. Its totient is φ = 111667411808856.

The previous prime is 111667411808767. The next prime is 111667411808867. The reversal of 111667411808857 is 758808114766111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92007020336841 + 19660391472016 = 9592029^2 + 4434004^2 .

It is a cyclic number.

It is not a de Polignac number, because 111667411808857 - 2¹¹ = 111667411806809 is a prime.

It is a super-2 number, since 2×111667411808857² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111667411808867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55833705904428 + 55833705904429.

It is an arithmetic number, because the mean of its divisors is an integer number (55833705904429).

Almost surely, 2^{111667411808857} is an apocalyptic number.

It is an amenable number.

111667411808857 is a deficient number, since it is larger than the sum of its proper divisors (1).

111667411808857 is an equidigital number, since it uses as much as digits as its factorization.

111667411808857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18063360, while the sum is 64.

The spelling of 111667411808857 in words is "one hundred eleven trillion, six hundred sixty-seven billion, four hundred eleven million, eight hundred eight thousand, eight hundred fifty-seven".