12648315456 has 448 divisors, whose sum is σ = 44476416000. Its totient is φ = 3448811520.

The previous prime is 12648315443. The next prime is 12648315467. The reversal of 12648315456 is 65451384621.

12648315456 is a `hidden beast` number, since 1 + 26 + 4 + 83 + 1 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×12648315456³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33372675 + ... + 33373053.

Almost surely, 2^12648315456 is an apocalyptic number.

12648315456 is a gapful number since it is divisible by the number (16) 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 12648315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208000).

12648315456 is an abundant number, since it is smaller than the sum of its proper divisors (31828100544).

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

12648315456 is a wasteful number, since it uses less digits than its factorization.

12648315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 12648315456 in words is "twelve billion, six hundred forty-eight million, three hundred fifteen thousand, four hundred fifty-six".