12443310624 has 96 divisors (see below), whose sum is σ = 32979260160. Its totient is φ = 4107833600.

The previous prime is 12443310613. The next prime is 12443310637. The reversal of 12443310624 is 42601334421.

12443310624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×12443310624³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12443310591 and 12443310600.

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 15 ways as a sum of consecutive naturals, for example, 12210787 + ... + 12211805.

It is an arithmetic number, because the mean of its divisors is an integer number (343533960).

Almost surely, 2^12443310624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443310624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489630080).

12443310624 is an abundant number, since it is smaller than the sum of its proper divisors (20535949536).

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

12443310624 is a wasteful number, since it uses less digits than its factorization.

12443310624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 12443310624 in words is "twelve billion, four hundred forty-three million, three hundred ten thousand, six hundred twenty-four".