12534745344 has 288 divisors, whose sum is σ = 39219683328. Its totient is φ = 3514368000.

The previous prime is 12534745297. The next prime is 12534745361. The reversal of 12534745344 is 44354743521.

It is a junction number, because it is equal to n+sod(n) for n = 12534745296 and 12534745305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6022384 + ... + 6024464.

It is an arithmetic number, because the mean of its divisors is an integer number (136179456).

Almost surely, 2^12534745344 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 12534745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609841664).

12534745344 is an abundant number, since it is smaller than the sum of its proper divisors (26684937984).

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

12534745344 is a wasteful number, since it uses less digits than its factorization.

12534745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2151 counting only the distinct ones).

The product of its digits is 806400, while the sum is 42.

The spelling of 12534745344 in words is "twelve billion, five hundred thirty-four million, seven hundred forty-five thousand, three hundred forty-four".