12444524736 has 224 divisors, whose sum is σ = 38677900800. Its totient is φ = 3457327104.

The previous prime is 12444524731. The next prime is 12444524749. The reversal of 12444524736 is 63742544421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×12444524736³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12444524731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20169100 + ... + 20169716.

It is an arithmetic number, because the mean of its divisors is an integer number (172669200).

Almost surely, 2^12444524736 is an apocalyptic number.

12444524736 is a gapful number since it is divisible by the number (16) 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 12444524736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19338950400).

12444524736 is an abundant number, since it is smaller than the sum of its proper divisors (26233376064).

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

12444524736 is a wasteful number, since it uses less digits than its factorization.

12444524736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1021 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The spelling of 12444524736 in words is "twelve billion, four hundred forty-four million, five hundred twenty-four thousand, seven hundred thirty-six".