12384549360 has 240 divisors, whose sum is σ = 42361038720. Its totient is φ = 3242004480.

The previous prime is 12384549347. The next prime is 12384549377. The reversal of 12384549360 is 6394548321.

12384549360 is a `hidden beast` number, since 1 + 23 + 84 + 5 + 493 + 60 = 666.

12384549360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×12384549360³ (a number of 31 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 10059945 + ... + 10061175.

It is an arithmetic number, because the mean of its divisors is an integer number (176504328).

Almost surely, 2^12384549360 is an apocalyptic number.

12384549360 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 12384549360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180519360).

12384549360 is an abundant number, since it is smaller than the sum of its proper divisors (29976489360).

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

12384549360 is a wasteful number, since it uses less digits than its factorization.

12384549360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12384549360 in words is "twelve billion, three hundred eighty-four million, five hundred forty-nine thousand, three hundred sixty".