14673160417 has 2 divisors, whose sum is σ = 14673160418. Its totient is φ = 14673160416.

The previous prime is 14673160391. The next prime is 14673160429. The reversal of 14673160417 is 71406137641.

14673160417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14448280401 + 224880016 = 120201^2 + 14996^2 .

It is a cyclic number.

It is not a de Polignac number, because 14673160417 - 2⁷ = 14673160289 is a prime.

It is a super-2 number, since 2×14673160417² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14673160417.

It is not a weakly prime, because it can be changed into another prime (14673190417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7336580208 + 7336580209.

It is an arithmetic number, because the mean of its divisors is an integer number (7336580209).

Almost surely, 2^14673160417 is an apocalyptic number.

It is an amenable number.

14673160417 is a deficient number, since it is larger than the sum of its proper divisors (1).

14673160417 is an equidigital number, since it uses as much as digits as its factorization.

14673160417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 14673160417 in words is "fourteen billion, six hundred seventy-three million, one hundred sixty thousand, four hundred seventeen".