12873002744448 has 1536 divisors, whose sum is σ = 48779990138880. Its totient is φ = 3282517094400.

The previous prime is 12873002744447. The next prime is 12873002744453. The reversal of 12873002744448 is 84444720037821.

12873002744448 is a `hidden beast` number, since 1 + 28 + 7 + 300 + 274 + 4 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12873002744394 and 12873002744403.

It is not an unprimeable number, because it can be changed into a prime (12873002744447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48946778365 + ... + 48946778627.

It is an arithmetic number, because the mean of its divisors is an integer number (31757806080).

Almost surely, 2^{12873002744448} is an apocalyptic number.

12873002744448 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 12873002744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24389995069440).

12873002744448 is an abundant number, since it is smaller than the sum of its proper divisors (35906987394432).

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

12873002744448 is a wasteful number, since it uses less digits than its factorization.

12873002744448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 12873002744448 in words is "twelve trillion, eight hundred seventy-three billion, two million, seven hundred forty-four thousand, four hundred forty-eight".