12727449856 has 81 divisors (see below), whose sum is σ = 27968337649. Its totient is φ = 5776179200.

The previous prime is 12727449853. The next prime is 12727449863. The reversal of 12727449856 is 65894472721.

The square root of 12727449856 is 112816.

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

12727449856 is digitally balanced in base 2, 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 only one way, i.e., 11488409856 + 1239040000 = 107184^2 + 35200^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12727449797 and 12727449806.

It is not an unprimeable number, because it can be changed into a prime (12727449853) 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 8 ways as a sum of consecutive naturals, for example, 19855296 + ... + 19855936.

Almost surely, 2^12727449856 is an apocalyptic number.

12727449856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12727449856 is the 112816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12727449856

12727449856 is an abundant number, since it is smaller than the sum of its proper divisors (15240887793).

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

12727449856 is an frugal number, since it uses more digits than its factorization.

12727449856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 654 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The spelling of 12727449856 in words is "twelve billion, seven hundred twenty-seven million, four hundred forty-nine thousand, eight hundred fifty-six".