12645007344 has 240 divisors, whose sum is σ = 38471734080. Its totient is φ = 3865128960.

The previous prime is 12645007327. The next prime is 12645007379. The reversal of 12645007344 is 44370054621.

12645007344 is a `hidden beast` number, since 1 + 2 + 645 + 0 + 0 + 7 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12645007299 and 12645007308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16615924 + ... + 16616684.

It is an arithmetic number, because the mean of its divisors is an integer number (160298892).

Almost surely, 2^12645007344 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 12645007344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19235867040).

12645007344 is an abundant number, since it is smaller than the sum of its proper divisors (25826726736).

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

12645007344 is a wasteful number, since it uses less digits than its factorization.

12645007344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 12645007344 in words is "twelve billion, six hundred forty-five million, seven thousand, three hundred forty-four".