12646832286000 has 1280 divisors, whose sum is σ = 46946755215360. Its totient is φ = 2901312000000.

The previous prime is 12646832285999. The next prime is 12646832286013. The reversal of 12646832286000 is 68223864621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 28808273781 + ... + 28808274219.

It is an arithmetic number, because the mean of its divisors is an integer number (36677152512).

Almost surely, 2^{12646832286000} is an apocalyptic number.

12646832286000 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 12646832286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23473377607680).

12646832286000 is an abundant number, since it is smaller than the sum of its proper divisors (34299922929360).

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

12646832286000 is a wasteful number, since it uses less digits than its factorization.

12646832286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 12646832286000 in words is "twelve trillion, six hundred forty-six billion, eight hundred thirty-two million, two hundred eighty-six thousand".