12853210384 has 45 divisors (see below), whose sum is σ = 28976062917. Its totient is φ = 5507158272.

The previous prime is 12853210339. The next prime is 12853210423. The reversal of 12853210384 is 48301235821.

The square root of 12853210384 is 113372.

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

12853210384 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., 3139136784 + 9714073600 = 56028^2 + 98560^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 3172392 + ... + 3176440.

Almost surely, 2^12853210384 is an apocalyptic number.

12853210384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12853210384 is the 113372-nd square number.

It is an amenable number.

12853210384 is an abundant number, since it is smaller than the sum of its proper divisors (16122852533).

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

12853210384 is an frugal number, since it uses more digits than its factorization.

12853210384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 12853210384 in words is "twelve billion, eight hundred fifty-three million, two hundred ten thousand, three hundred eighty-four".