12743281152 has 640 divisors, whose sum is σ = 47139840000. Its totient is φ = 3316432896.

The previous prime is 12743281139. The next prime is 12743281163. The reversal of 12743281152 is 25118234721.

12743281152 is a `hidden beast` number, since 1 + 274 + 328 + 11 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53319049 + ... + 53319287.

It is an arithmetic number, because the mean of its divisors is an integer number (73656000).

Almost surely, 2^12743281152 is an apocalyptic number.

12743281152 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 12743281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920000).

12743281152 is an abundant number, since it is smaller than the sum of its proper divisors (34396558848).

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

12743281152 is a wasteful number, since it uses less digits than its factorization.

12743281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 12743281152 in words is "twelve billion, seven hundred forty-three million, two hundred eighty-one thousand, one hundred fifty-two".