12648472704 has 576 divisors, whose sum is σ = 45161756640. Its totient is φ = 3511517184.

The previous prime is 12648472693. The next prime is 12648472723. The reversal of 12648472704 is 40727484621.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 12648472704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65536032 + ... + 65536224.

Almost surely, 2^12648472704 is an apocalyptic number.

12648472704 is a gapful number since it is divisible by the number (14) 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 12648472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580878320).

12648472704 is an abundant number, since it is smaller than the sum of its proper divisors (32513283936).

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

12648472704 is an equidigital number, since it uses as much as digits as its factorization.

12648472704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 12648472704 in words is "twelve billion, six hundred forty-eight million, four hundred seventy-two thousand, seven hundred four".