6544223516224 has 63 divisors (see below), whose sum is σ = 13091444662753. Its totient is φ = 3245803558400.

The previous prime is 6544223516213. The next prime is 6544223516269. The reversal of 6544223516224 is 4226153224456.

The square root of 6544223516224 is 2558168.

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

It can be written as a sum of positive squares in only one way, i.e., 632712066624 + 5911511449600 = 795432^2 + 2431360^2 .

It is a super-2 number, since 2×6544223516224² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2680958844 + ... + 2680961284.

Almost surely, 2^{6544223516224} is an apocalyptic number.

6544223516224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6544223516224 is the 2558168-th square number.

It is an amenable number.

6544223516224 is an abundant number, since it is smaller than the sum of its proper divisors (6547221146529).

6544223516224 is an frugal number, since it uses more digits than its factorization.

6544223516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 2574 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 46.

The spelling of 6544223516224 in words is "six trillion, five hundred forty-four billion, two hundred twenty-three million, five hundred sixteen thousand, two hundred twenty-four".