12644352000 has 768 divisors, whose sum is σ = 53161992000. Its totient is φ = 2890137600.

The previous prime is 12644351983. The next prime is 12644352059. The reversal of 12644352000 is 25344621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12644352000 is a `hidden beast` number, since 1 + 26 + 4 + 435 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1806335997 + ... + 1806336003.

Almost surely, 2^12644352000 is an apocalyptic number.

12644352000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12644352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26580996000).

12644352000 is an abundant number, since it is smaller than the sum of its proper divisors (40517640000).

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

12644352000 is an frugal number, since it uses more digits than its factorization.

12644352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12644352000 its reverse (25344621), we get a palindrome (12669696621).

The spelling of 12644352000 in words is "twelve billion, six hundred forty-four million, three hundred fifty-two thousand".