45347567712817 has 2 divisors, whose sum is σ = 45347567712818. Its totient is φ = 45347567712816.

The previous prime is 45347567712739. The next prime is 45347567712823. The reversal of 45347567712817 is 71821776574354.

45347567712817 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., 25868047012096 + 19479520700721 = 5086064^2 + 4413561^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45347567712817 is a prime.

It is not a weakly prime, because it can be changed into another prime (45347567712877) 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, 22673783856408 + 22673783856409.

It is an arithmetic number, because the mean of its divisors is an integer number (22673783856409).

Almost surely, 2^{45347567712817} is an apocalyptic number.

It is an amenable number.

45347567712817 is a deficient number, since it is larger than the sum of its proper divisors (1).

45347567712817 is an equidigital number, since it uses as much as digits as its factorization.

45347567712817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 276595200, while the sum is 67.

The spelling of 45347567712817 in words is "forty-five trillion, three hundred forty-seven billion, five hundred sixty-seven million, seven hundred twelve thousand, eight hundred seventeen".