12426444576 has 576 divisors, whose sum is σ = 47802763008. Its totient is φ = 3081535488.

The previous prime is 12426444557. The next prime is 12426444617. The reversal of 12426444576 is 67544462421.

It is a happy number.

12426444576 is a `hidden beast` number, since 12 + 4 + 2 + 64 + 4 + 4 + 576 = 666.

12426444576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 12028956 + ... + 12029988.

It is an arithmetic number, because the mean of its divisors is an integer number (82990908).

Almost surely, 2^12426444576 is an apocalyptic number.

12426444576 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 12426444576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901381504).

12426444576 is an abundant number, since it is smaller than the sum of its proper divisors (35376318432).

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

12426444576 is a wasteful number, since it uses less digits than its factorization.

12426444576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1075 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 12426444576 in words is "twelve billion, four hundred twenty-six million, four hundred forty-four thousand, five hundred seventy-six".