12738614436 has 72 divisors (see below), whose sum is σ = 32731171200. Its totient is φ = 4176619200.

The previous prime is 12738614431. The next prime is 12738614479. The reversal of 12738614436 is 63441683721.

12738614436 is a `hidden beast` number, since 1 + 27 + 3 + 8 + 614 + 4 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12738614391 and 12738614400.

It is not an unprimeable number, because it can be changed into a prime (12738614431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756711 + ... + 773361.

It is an arithmetic number, because the mean of its divisors is an integer number (454599600).

Almost surely, 2^12738614436 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 12738614436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365585600).

12738614436 is an abundant number, since it is smaller than the sum of its proper divisors (19992556764).

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

12738614436 is a wasteful number, since it uses less digits than its factorization.

12738614436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17009 (or 17004 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 12738614436 in words is "twelve billion, seven hundred thirty-eight million, six hundred fourteen thousand, four hundred thirty-six".