12364479504 has 240 divisors, whose sum is σ = 38510035200. Its totient is φ = 3679340544.

The previous prime is 12364479503. The next prime is 12364479553. The reversal of 12364479504 is 40597446321.

12364479504 is a `hidden beast` number, since 1 + 2 + 36 + 44 + 79 + 504 = 666.

12364479504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12364479504.

It is not an unprimeable number, because it can be changed into a prime (12364479503) by changing a digit.

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, 7829787 + ... + 7831365.

It is an arithmetic number, because the mean of its divisors is an integer number (160458480).

Almost surely, 2^12364479504 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 12364479504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19255017600).

12364479504 is an abundant number, since it is smaller than the sum of its proper divisors (26145555696).

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

12364479504 is a wasteful number, since it uses less digits than its factorization.

12364479504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12364479504 in words is "twelve billion, three hundred sixty-four million, four hundred seventy-nine thousand, five hundred four".