12663283248 has 720 divisors, whose sum is σ = 49044003840. Its totient is φ = 3004646400.

The previous prime is 12663283207. The next prime is 12663283261. The reversal of 12663283248 is 84238236621.

12663283248 is a `hidden beast` number, since 1 + 2 + 6 + 632 + 8 + 3 + 2 + 4 + 8 = 666.

12663283248 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 a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 45715686 + ... + 45715962.

It is an arithmetic number, because the mean of its divisors is an integer number (68116672).

Almost surely, 2^12663283248 is an apocalyptic number.

12663283248 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 12663283248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24522001920).

12663283248 is an abundant number, since it is smaller than the sum of its proper divisors (36380720592).

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

12663283248 is a wasteful number, since it uses less digits than its factorization.

12663283248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12663283248 in words is "twelve billion, six hundred sixty-three million, two hundred eighty-three thousand, two hundred forty-eight".