12748448736 has 336 divisors, whose sum is σ = 39266156160. Its totient is φ = 4069336320.

The previous prime is 12748448729. The next prime is 12748448789. The reversal of 12748448736 is 63784484721.

12748448736 is a `hidden beast` number, since 12 + 74 + 84 + 487 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 71220295 + ... + 71220473.

It is an arithmetic number, because the mean of its divisors is an integer number (116863560).

Almost surely, 2^12748448736 is an apocalyptic number.

12748448736 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 12748448736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633078080).

12748448736 is an abundant number, since it is smaller than the sum of its proper divisors (26517707424).

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

12748448736 is an equidigital number, since it uses as much as digits as its factorization.

12748448736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 12748448736 in words is "twelve billion, seven hundred forty-eight million, four hundred forty-eight thousand, seven hundred thirty-six".