12438713548800 has 2520 divisors, whose sum is σ = 57768229388352. Its totient is φ = 2579890176000.

The previous prime is 12438713548739. The next prime is 12438713548801. The reversal of 12438713548800 is 884531783421.

12438713548800 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 8 + 7 + 13 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is not an unprimeable number, because it can be changed into a prime (12438713548801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22992076530 + ... + 22992077070.

Almost surely, 2^{12438713548800} is an apocalyptic number.

12438713548800 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 12438713548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28884114694176).

12438713548800 is an abundant number, since it is smaller than the sum of its proper divisors (45329515839552).

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

12438713548800 is an frugal number, since it uses more digits than its factorization.

12438713548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12438713548800 in words is "twelve trillion, four hundred thirty-eight billion, seven hundred thirteen million, five hundred forty-eight thousand, eight hundred".