5005882168849 has 12 divisors (see below), whose sum is σ = 5284789559940. Its totient is φ = 4741002524160.

The previous prime is 5005882168843. The next prime is 5005882168913. The reversal of 5005882168849 is 9488612885005.

It can be written as a sum of positive squares in 2 ways, for example, as 4362145530625 + 643736638224 = 2088575^2 + 802332^2 .

It is not a de Polignac number, because 5005882168849 - 2¹⁵ = 5005882136081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5005882168843) 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 in 11 ways as a sum of consecutive naturals, for example, 849564 + ... + 3276205.

It is an arithmetic number, because the mean of its divisors is an integer number (440399129995).

Almost surely, 2^{5005882168849} is an apocalyptic number.

It is an amenable number.

5005882168849 is a deficient number, since it is larger than the sum of its proper divisors (278907391091).

5005882168849 is a wasteful number, since it uses less digits than its factorization.

5005882168849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129168 (or 4129149 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 64.

The spelling of 5005882168849 in words is "five trillion, five billion, eight hundred eighty-two million, one hundred sixty-eight thousand, eight hundred forty-nine".