12811436782848 has 360 divisors, whose sum is σ = 41685886408320. Its totient is φ = 3881168732160.

The previous prime is 12811436782831. The next prime is 12811436782867. The reversal of 12811436782848 is 84828763411821.

12811436782848 is a `hidden beast` number, since 1 + 2 + 8 + 114 + 367 + 82 + 84 + 8 = 666.

It is a super-2 number, since 2×12811436782848² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1258856736 + ... + 1258866912.

It is an arithmetic number, because the mean of its divisors is an integer number (115794128912).

Almost surely, 2^{12811436782848} is an apocalyptic number.

12811436782848 is a gapful number since it is divisible by the number (18) 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 12811436782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842943204160).

12811436782848 is an abundant number, since it is smaller than the sum of its proper divisors (28874449625472).

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

12811436782848 is a wasteful number, since it uses less digits than its factorization.

12811436782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15735 (or 15712 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 12811436782848 in words is "twelve trillion, eight hundred eleven billion, four hundred thirty-six million, seven hundred eighty-two thousand, eight hundred forty-eight".