12384179638560 has 144 divisors (see below), whose sum is σ = 43624271658240. Its totient is φ = 3195917314560.

The previous prime is 12384179638559. The next prime is 12384179638573. The reversal of 12384179638560 is 6583697148321.

12384179638560 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 4 + 1 + 7 + 9 + 63 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 138667050 + ... + 138756329.

It is an arithmetic number, because the mean of its divisors is an integer number (302946330960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12384179638560 = 24768359277120, but 3⋅12384179638560 = 37152538915680 is not.

Almost surely, 2^{12384179638560} is an apocalyptic number.

12384179638560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12384179638560 is an abundant number, since it is smaller than the sum of its proper divisors (31240092019680).

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

12384179638560 is a wasteful number, since it uses less digits than its factorization.

12384179638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277423431 (or 277423420 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 12384179638560 in words is "twelve trillion, three hundred eighty-four billion, one hundred seventy-nine million, six hundred thirty-eight thousand, five hundred sixty".