12361440384 has 192 divisors, whose sum is σ = 37795694040. Its totient is φ = 3864526848.

The previous prime is 12361440383. The next prime is 12361440419. The reversal of 12361440384 is 48304416321.

12361440384 is a `hidden beast` number, since 1 + 2 + 3 + 614 + 4 + 0 + 38 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7527297600 + 4834142784 = 86760^2 + 69528^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12361440383) 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 23 ways as a sum of consecutive naturals, for example, 6598872 + ... + 6600744.

Almost surely, 2^12361440384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12361440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897847020).

12361440384 is an abundant number, since it is smaller than the sum of its proper divisors (25434253656).

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

12361440384 is a wasteful number, since it uses less digits than its factorization.

12361440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12361440384 in words is "twelve billion, three hundred sixty-one million, four hundred forty thousand, three hundred eighty-four".