12725721243648 has 224 divisors, whose sum is σ = 43089764488320. Its totient is φ = 3635919912960.

The previous prime is 12725721243581. The next prime is 12725721243661. The reversal of 12725721243648 is 84634212752721.

12725721243648 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 572 + 1 + 2 + 4 + 3 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12725721243594 and 12725721243603.

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 15 ways as a sum of consecutive naturals, for example, 2561323 + ... + 5657898.

Almost surely, 2^{12725721243648} is an apocalyptic number.

12725721243648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12725721243648 is an abundant number, since it is smaller than the sum of its proper divisors (30364043244672).

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

12725721243648 is an frugal number, since it uses more digits than its factorization.

12725721243648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219263 (or 8219233 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 12725721243648 in words is "twelve trillion, seven hundred twenty-five billion, seven hundred twenty-one million, two hundred forty-three thousand, six hundred forty-eight".