12844863360 has 1152 divisors, whose sum is σ = 57817843200. Its totient is φ = 2660511744.

The previous prime is 12844863319. The next prime is 12844863373. The reversal of 12844863360 is 6336844821.

12844863360 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 4 + 8 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 558472309 + ... + 558472331.

It is an arithmetic number, because the mean of its divisors is an integer number (50189100).

Almost surely, 2^12844863360 is an apocalyptic number.

12844863360 is a gapful number since it is divisible by the number (10) 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 12844863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28908921600).

12844863360 is an abundant number, since it is smaller than the sum of its proper divisors (44972979840).

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

12844863360 is an frugal number, since it uses more digits than its factorization.

12844863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12844863360 in words is "twelve billion, eight hundred forty-four million, eight hundred sixty-three thousand, three hundred sixty".