12334638228744 has 384 divisors, whose sum is σ = 35684980531200. Its totient is φ = 3530863595520.

The previous prime is 12334638228721. The next prime is 12334638228751. The reversal of 12334638228744 is 44782283643321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5508993177 + ... + 5508995415.

It is an arithmetic number, because the mean of its divisors is an integer number (92929636800).

Almost surely, 2^{12334638228744} 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 12334638228744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17842490265600).

12334638228744 is an abundant number, since it is smaller than the sum of its proper divisors (23350342302456).

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

12334638228744 is a wasteful number, since it uses less digits than its factorization.

12334638228744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2952 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 57.

The spelling of 12334638228744 in words is "twelve trillion, three hundred thirty-four billion, six hundred thirty-eight million, two hundred twenty-eight thousand, seven hundred forty-four".