167628106487729 has 2 divisors, whose sum is σ = 167628106487730. Its totient is φ = 167628106487728.

The previous prime is 167628106487713. The next prime is 167628106487753. The reversal of 167628106487729 is 927784601826761.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153075712630129 + 14552393857600 = 12372377^2 + 3814760^2 .

It is a cyclic number.

It is not a de Polignac number, because 167628106487729 - 2⁴ = 167628106487713 is a prime.

It is a super-2 number, since 2×167628106487729² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (167628106417729) 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, 83814053243864 + 83814053243865.

It is an arithmetic number, because the mean of its divisors is an integer number (83814053243865).

Almost surely, 2^{167628106487729} is an apocalyptic number.

It is an amenable number.

167628106487729 is a deficient number, since it is larger than the sum of its proper divisors (1).

167628106487729 is an equidigital number, since it uses as much as digits as its factorization.

167628106487729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 682795008, while the sum is 74.

The spelling of 167628106487729 in words is "one hundred sixty-seven trillion, six hundred twenty-eight billion, one hundred six million, four hundred eighty-seven thousand, seven hundred twenty-nine".