6543584853456 has 160 divisors (see below), whose sum is σ = 20263451627520. Its totient is φ = 1780362367488.

The previous prime is 6543584853413. The next prime is 6543584853457.

6543584853456 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6543584853457) 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 31 ways as a sum of consecutive naturals, for example, 5015166 + ... + 6183773.

It is an arithmetic number, because the mean of its divisors is an integer number (126646572672).

Almost surely, 2^{6543584853456} is an apocalyptic number.

It is an amenable number.

6543584853456 is an abundant number, since it is smaller than the sum of its proper divisors (13719866774064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6543584853456 is a wasteful number, since it uses less digits than its factorization.

6543584853456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199041 (or 11199035 counting only the distinct ones).

The product of its digits is 829440000, while the sum is 66.

The spelling of 6543584853456 in words is "six trillion, five hundred forty-three billion, five hundred eighty-four million, eight hundred fifty-three thousand, four hundred fifty-six".