12844399358880 has 576 divisors, whose sum is σ = 46307753200800. Its totient is φ = 3237435801600.

The previous prime is 12844399358771. The next prime is 12844399358881. The reversal of 12844399358880 is 8885399344821.

12844399358880 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 4 + 39 + 9 + 3 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5979139971984 + 6865259386896 = 2445228^2 + 2620164^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12844399358799 and 12844399358808.

It is not an unprimeable number, because it can be changed into a prime (12844399358881) by changing a digit.

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, 375363532 + ... + 375397748.

Almost surely, 2^{12844399358880} is an apocalyptic number.

12844399358880 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 12844399358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23153876600400).

12844399358880 is an abundant number, since it is smaller than the sum of its proper divisors (33463353841920).

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

12844399358880 is a wasteful number, since it uses less digits than its factorization.

12844399358880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34457 (or 34446 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 12844399358880 in words is "twelve trillion, eight hundred forty-four billion, three hundred ninety-nine million, three hundred fifty-eight thousand, eight hundred eighty".