6500546846689 has 45 divisors (see below), whose sum is σ = 7718927256729. Its totient is φ = 5474129683680.

The previous prime is 6500546846687. The next prime is 6500546846699. The reversal of 6500546846689 is 9866486450056.

The square root of 6500546846689 is 2549617.

It is a perfect power (a square), and thus also a powerful number.

6500546846689 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5400162630625 + 1100384216064 = 2323825^2 + 1048992^2 .

It is not a de Polignac number, because 6500546846689 - 2¹ = 6500546846687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6500546846687) 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 in 44 ways as a sum of consecutive naturals, for example, 7620804787 + ... + 7620805639.

Almost surely, 2^{6500546846689} is an apocalyptic number.

6500546846689 is the 2549617-th square number.

6500546846689 is the 1274809-th centered octagonal number.

It is an amenable number.

6500546846689 is a deficient number, since it is larger than the sum of its proper divisors (1218380410040).

6500546846689 is an frugal number, since it uses more digits than its factorization.

6500546846689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 67.

The spelling of 6500546846689 in words is "six trillion, five hundred billion, five hundred forty-six million, eight hundred forty-six thousand, six hundred eighty-nine".