12842944483824 has 320 divisors, whose sum is σ = 45380492129280. Its totient is φ = 3386448000000.

The previous prime is 12842944483807. The next prime is 12842944483871. The reversal of 12842944483824 is 42838444924821.

12842944483824 is a `hidden beast` number, since 1 + 2 + 8 + 42 + 94 + 4 + 483 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 205452574 + ... + 205515074.

It is an arithmetic number, because the mean of its divisors is an integer number (141814037904).

Almost surely, 2^{12842944483824} is an apocalyptic number.

12842944483824 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 12842944483824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22690246064640).

12842944483824 is an abundant number, since it is smaller than the sum of its proper divisors (32537547645456).

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

12842944483824 is a wasteful number, since it uses less digits than its factorization.

12842944483824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67765 (or 67753 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 63.

The spelling of 12842944483824 in words is "twelve trillion, eight hundred forty-two billion, nine hundred forty-four million, four hundred eighty-three thousand, eight hundred twenty-four".