12839609344 has 33 divisors (see below), whose sum is σ = 25673930481. Its totient is φ = 6417991680.

The previous prime is 12839609317. The next prime is 12839609359. The reversal of 12839609344 is 44390693821.

The square root of 12839609344 is 113312.

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., 5374649344 + 7464960000 = 73312^2 + 86400^2 .

It is a super-2 number, since 2×12839609344² (a number of 21 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 2 ways as a sum of consecutive naturals, for example, 3624214 + ... + 3627754.

Almost surely, 2^12839609344 is an apocalyptic number.

12839609344 is the 113312-nd square number.

It is an amenable number.

12839609344 is a deficient number, since it is larger than the sum of its proper divisors (12834321137).

12839609344 is an frugal number, since it uses more digits than its factorization.

12839609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 12839609344 by its sum of digits (49), we get a square (629140857856 = 793184²).

The spelling of 12839609344 in words is "twelve billion, eight hundred thirty-nine million, six hundred nine thousand, three hundred forty-four".