67918579152289 has 2 divisors, whose sum is σ = 67918579152290. Its totient is φ = 67918579152288.

The previous prime is 67918579152269. The next prime is 67918579152349. The reversal of 67918579152289 is 98225197581976.

It is a happy number.

67918579152289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55883175005025 + 12035404147264 = 7475505^2 + 3469208^2 .

It is a cyclic number.

It is not a de Polignac number, because 67918579152289 - 2¹⁷ = 67918579021217 is a prime.

It is a super-2 number, since 2×67918579152289² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67918579152269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33959289576144 + 33959289576145.

It is an arithmetic number, because the mean of its divisors is an integer number (33959289576145).

Almost surely, 2^{67918579152289} is an apocalyptic number.

It is an amenable number.

67918579152289 is a deficient number, since it is larger than the sum of its proper divisors (1).

67918579152289 is an equidigital number, since it uses as much as digits as its factorization.

67918579152289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1371686400, while the sum is 79.

The spelling of 67918579152289 in words is "sixty-seven trillion, nine hundred eighteen billion, five hundred seventy-nine million, one hundred fifty-two thousand, two hundred eighty-nine".