12544168752 has 120 divisors (see below), whose sum is σ = 36998108160. Its totient is φ = 3956584320.

The previous prime is 12544168723. The next prime is 12544168783. The reversal of 12544168752 is 25786144521.

12544168752 is a `hidden beast` number, since 12 + 544 + 16 + 87 + 5 + 2 = 666.

12544168752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12544168698 and 12544168707.

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 23 ways as a sum of consecutive naturals, for example, 2818593 + ... + 2823039.

It is an arithmetic number, because the mean of its divisors is an integer number (308317568).

Almost surely, 2^12544168752 is an apocalyptic number.

12544168752 is a gapful number since it is divisible by the number (12) 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 12544168752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499054080).

12544168752 is an abundant number, since it is smaller than the sum of its proper divisors (24453939408).

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

12544168752 is a wasteful number, since it uses less digits than its factorization.

12544168752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5502 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 12544168752 in words is "twelve billion, five hundred forty-four million, one hundred sixty-eight thousand, seven hundred fifty-two".