12294639528864 has 384 divisors, whose sum is σ = 40647552067584. Its totient is φ = 3160954368000.

The previous prime is 12294639528851. The next prime is 12294639528889. The reversal of 12294639528864 is 46882593649221.

12294639528864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12294639528864² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384419754 + ... + 384451734.

It is an arithmetic number, because the mean of its divisors is an integer number (105853000176).

Almost surely, 2^{12294639528864} is an apocalyptic number.

12294639528864 is a gapful number since it is divisible by the number (14) 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 12294639528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20323776033792).

12294639528864 is an abundant number, since it is smaller than the sum of its proper divisors (28352912538720).

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

12294639528864 is a wasteful number, since it uses less digits than its factorization.

12294639528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32540 (or 32532 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 69.

The spelling of 12294639528864 in words is "twelve trillion, two hundred ninety-four billion, six hundred thirty-nine million, five hundred twenty-eight thousand, eight hundred sixty-four".