12746538624 has 64 divisors (see below), whose sum is σ = 33878802240. Its totient is φ = 4246235136.

The previous prime is 12746538619. The next prime is 12746538631. The reversal of 12746538624 is 42683564721.

12746538624 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 675364 + ... + 693980.

It is an arithmetic number, because the mean of its divisors is an integer number (529356285).

Almost surely, 2^12746538624 is an apocalyptic number.

It is an amenable number.

12746538624 is an abundant number, since it is smaller than the sum of its proper divisors (21132263616).

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

12746538624 is a wasteful number, since it uses less digits than its factorization.

12746538624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20417 (or 20405 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 12746538624 in words is "twelve billion, seven hundred forty-six million, five hundred thirty-eight thousand, six hundred twenty-four".