12413727504 has 30 divisors (see below), whose sum is σ = 34741196126. Its totient is φ = 4137909120.

The previous prime is 12413727497. The next prime is 12413727511. The reversal of 12413727504 is 40572731421.

12413727504 is a `hidden beast` number, since 12 + 4 + 137 + 2 + 7 + 504 = 666.

12413727504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12413727497) and next prime (12413727511).

It can be written as a sum of positive squares in only one way, i.e., 9751167504 + 2662560000 = 98748^2 + 51600^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 5 ways as a sum of consecutive naturals, for example, 43103077 + ... + 43103364.

Almost surely, 2^12413727504 is an apocalyptic number.

It is an amenable number.

12413727504 is an abundant number, since it is smaller than the sum of its proper divisors (22327468622).

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

12413727504 is a wasteful number, since it uses less digits than its factorization.

12413727504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86206455 (or 86206446 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12413727504 in words is "twelve billion, four hundred thirteen million, seven hundred twenty-seven thousand, five hundred four".