111667411808767 has 2 divisors, whose sum is σ = 111667411808768. Its totient is φ = 111667411808766.

The previous prime is 111667411808731. The next prime is 111667411808857. The reversal of 111667411808767 is 767808114766111.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 111667411808767 - 2¹⁵ = 111667411775999 is a prime.

It is a super-2 number, since 2×111667411808767² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111667411808699 and 111667411808708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111667411808707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55833705904383 + 55833705904384.

It is an arithmetic number, because the mean of its divisors is an integer number (55833705904384).

Almost surely, 2^{111667411808767} is an apocalyptic number.

111667411808767 is a deficient number, since it is larger than the sum of its proper divisors (1).

111667411808767 is an equidigital number, since it uses as much as digits as its factorization.

111667411808767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18966528, while the sum is 64.

The spelling of 111667411808767 in words is "one hundred eleven trillion, six hundred sixty-seven billion, four hundred eleven million, eight hundred eight thousand, seven hundred sixty-seven".