12443089344 has 448 divisors, whose sum is σ = 42030213120. Its totient is φ = 3167354880.

The previous prime is 12443089301. The next prime is 12443089409. The reversal of 12443089344 is 44398034421.

12443089344 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12443089296 and 12443089305.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 34660237 + ... + 34660595.

It is an arithmetic number, because the mean of its divisors is an integer number (93817440).

Almost surely, 2^12443089344 is an apocalyptic number.

12443089344 is a gapful number since it is divisible by the number (14) 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 12443089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015106560).

12443089344 is an abundant number, since it is smaller than the sum of its proper divisors (29587123776).

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

12443089344 is a wasteful number, since it uses less digits than its factorization.

12443089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 12443089344 in words is "twelve billion, four hundred forty-three million, eighty-nine thousand, three hundred forty-four".