12448459647360 has 768 divisors, whose sum is σ = 47951193888000. Its totient is φ = 2950180945920.

The previous prime is 12448459647359. The next prime is 12448459647373. The reversal of 12448459647360 is 6374695484421.

12448459647360 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 8 + 4 + 596 + 4 + 7 + 36 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 950330091 + ... + 950343189.

It is an arithmetic number, because the mean of its divisors is an integer number (62436450375).

It is a 1-persistent number, because it is pandigital, but 2⋅12448459647360 = 24896919294720 is not.

Almost surely, 2^{12448459647360} is an apocalyptic number.

12448459647360 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 12448459647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975596944000).

12448459647360 is an abundant number, since it is smaller than the sum of its proper divisors (35502734240640).

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

12448459647360 is a wasteful number, since it uses less digits than its factorization.

12448459647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13471 (or 13456 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 12448459647360 in words is "twelve trillion, four hundred forty-eight billion, four hundred fifty-nine million, six hundred forty-seven thousand, three hundred sixty".