12738027648 has 128 divisors (see below), whose sum is σ = 36089737920. Its totient is φ = 3966795776.

The previous prime is 12738027551. The next prime is 12738027661. The reversal of 12738027648 is 84672083721.

12738027648 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 (128).

It is a super-2 number, since 2×12738027648² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12738027597 and 12738027606.

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 15 ways as a sum of consecutive naturals, for example, 887215 + ... + 901457.

Almost surely, 2^12738027648 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 12738027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044868960).

12738027648 is an abundant number, since it is smaller than the sum of its proper divisors (23351710272).

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

12738027648 is a wasteful number, since it uses less digits than its factorization.

12738027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14414 (or 14402 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 12738027648 in words is "twelve billion, seven hundred thirty-eight million, twenty-seven thousand, six hundred forty-eight".