12443761728 has 392 divisors, whose sum is σ = 40627203480. Its totient is φ = 3762339840.

The previous prime is 12443761723. The next prime is 12443761741. The reversal of 12443761728 is 82716734421.

12443761728 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 7 + 617 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2869530624 + 9574231104 = 53568^2 + 97848^2 .

It is not an unprimeable number, because it can be changed into a prime (12443761723) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23001138 + ... + 23001678.

Almost surely, 2^12443761728 is an apocalyptic number.

12443761728 is a gapful number since it is divisible by the number (18) 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 12443761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313601740).

12443761728 is an abundant number, since it is smaller than the sum of its proper divisors (28183441752).

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

12443761728 is an equidigital number, since it uses as much as digits as its factorization.

12443761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 592 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 12443761728 in words is "twelve billion, four hundred forty-three million, seven hundred sixty-one thousand, seven hundred twenty-eight".