45737789445217 has 2 divisors, whose sum is σ = 45737789445218. Its totient is φ = 45737789445216.

The previous prime is 45737789445079. The next prime is 45737789445233. The reversal of 45737789445217 is 71254498773754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45736762306816 + 1027138401 = 6762896^2 + 32049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45737789445217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45737789445217.

It is not a weakly prime, because it can be changed into another prime (45737789445017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22868894722608 + 22868894722609.

It is an arithmetic number, because the mean of its divisors is an integer number (22868894722609).

Almost surely, 2^{45737789445217} is an apocalyptic number.

It is an amenable number.

45737789445217 is a deficient number, since it is larger than the sum of its proper divisors (1).

45737789445217 is an equidigital number, since it uses as much as digits as its factorization.

45737789445217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1659571200, while the sum is 73.

The spelling of 45737789445217 in words is "forty-five trillion, seven hundred thirty-seven billion, seven hundred eighty-nine million, four hundred forty-five thousand, two hundred seventeen".