12756123648 has 272 divisors, whose sum is σ = 38692159200. Its totient is φ = 4204265472.

The previous prime is 12756123637. The next prime is 12756123707. The reversal of 12756123648 is 84632165721.

12756123648 is a `hidden beast` number, since 1 + 2 + 7 + 561 + 23 + 64 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143327188 + ... + 143327276.

Almost surely, 2^12756123648 is an apocalyptic number.

12756123648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12756123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346079600).

12756123648 is an abundant number, since it is smaller than the sum of its proper divisors (25936035552).

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

12756123648 is an frugal number, since it uses more digits than its factorization.

12756123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12756123648 in words is "twelve billion, seven hundred fifty-six million, one hundred twenty-three thousand, six hundred forty-eight".