12463401484800 has 1920 divisors, whose sum is σ = 55253077862400. Its totient is φ = 2688102236160.

The previous prime is 12463401484783. The next prime is 12463401484841. The reversal of 12463401484800 is 848410436421.

12463401484800 is a `hidden beast` number, since 1 + 2 + 4 + 634 + 0 + 1 + 4 + 8 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18248025259 + ... + 18248025941.

It is an arithmetic number, because the mean of its divisors is an integer number (28777644720).

Almost surely, 2^{12463401484800} is an apocalyptic number.

12463401484800 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 12463401484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27626538931200).

12463401484800 is an abundant number, since it is smaller than the sum of its proper divisors (42789676377600).

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

12463401484800 is a wasteful number, since it uses less digits than its factorization.

12463401484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 12463401484800 in words is "twelve trillion, four hundred sixty-three billion, four hundred one million, four hundred eighty-four thousand, eight hundred".