11667666667729 has 2 divisors, whose sum is σ = 11667666667730. Its totient is φ = 11667666667728.

The previous prime is 11667666667697. The next prime is 11667666667753. The reversal of 11667666667729 is 92776666676611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7976472790225 + 3691193877504 = 2824265^2 + 1921248^2 .

It is a cyclic number.

It is not a de Polignac number, because 11667666667729 - 2⁵ = 11667666667697 is a prime.

It is a super-2 number, since 2×11667666667729² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11667666667429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5833833333864 + 5833833333865.

It is an arithmetic number, because the mean of its divisors is an integer number (5833833333865).

Almost surely, 2^{11667666667729} is an apocalyptic number.

It is an amenable number.

11667666667729 is a deficient number, since it is larger than the sum of its proper divisors (1).

11667666667729 is an equidigital number, since it uses as much as digits as its factorization.

11667666667729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728324864, while the sum is 76.

The spelling of 11667666667729 in words is "eleven trillion, six hundred sixty-seven billion, six hundred sixty-six million, six hundred sixty-seven thousand, seven hundred twenty-nine".