12824656516 has 27 divisors (see below), whose sum is σ = 26110564389. Its totient is φ = 5495601888.

The previous prime is 12824656393. The next prime is 12824656517. The reversal of 12824656516 is 61565642821.

The square root of 12824656516 is 113246.

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

12824656516 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., 154902916 + 12669753600 = 12446^2 + 112560^2 .

It is not an unprimeable number, because it can be changed into a prime (12824656517) 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, 1581400 + ... + 1589488.

Almost surely, 2^12824656516 is an apocalyptic number.

12824656516 is the 113246-th square number.

It is an amenable number.

12824656516 is an abundant number, since it is smaller than the sum of its proper divisors (13285907873).

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

12824656516 is an frugal number, since it uses more digits than its factorization.

12824656516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 8098 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 12824656516 in words is "twelve billion, eight hundred twenty-four million, six hundred fifty-six thousand, five hundred sixteen".