12864382682112 has 352 divisors, whose sum is σ = 41062007750400. Its totient is φ = 3955058343936.

The previous prime is 12864382682077. The next prime is 12864382682131. The reversal of 12864382682112 is 21128628346821.

12864382682112 is a `hidden beast` number, since 12 + 8 + 6 + 438 + 2 + 6 + 82 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463283653 + ... + 463311419.

Almost surely, 2^{12864382682112} is an apocalyptic number.

12864382682112 is a gapful number since it is divisible by the number (12) 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 12864382682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20531003875200).

12864382682112 is an abundant number, since it is smaller than the sum of its proper divisors (28197625068288).

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

12864382682112 is a wasteful number, since it uses less digits than its factorization.

12864382682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29098 (or 29074 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 12864382682112 in words is "twelve trillion, eight hundred sixty-four billion, three hundred eighty-two million, six hundred eighty-two thousand, one hundred twelve".