12816138816 has 168 divisors, whose sum is σ = 41026795264. Its totient is φ = 3943365120.

The previous prime is 12816138793. The next prime is 12816138817. The reversal of 12816138816 is 61883161821.

12816138816 is a `hidden beast` number, since 1 + 28 + 1 + 613 + 8 + 8 + 1 + 6 = 666.

12816138816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12816138817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170481 + ... + 233871.

Almost surely, 2^12816138816 is an apocalyptic number.

12816138816 is a gapful number since it is divisible by the number (16) 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 12816138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513397632).

12816138816 is an abundant number, since it is smaller than the sum of its proper divisors (28210656448).

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

12816138816 is an equidigital number, since it uses as much as digits as its factorization.

12816138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63431 (or 63409 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 12816138816 in words is "twelve billion, eight hundred sixteen million, one hundred thirty-eight thousand, eight hundred sixteen".