12457601648000 has 64 divisors (see below), whose sum is σ = 30972712137120. Its totient is φ = 4983040652800.

The previous prime is 12457601647943. The next prime is 12457601648053. The reversal of 12457601648000 is 84610675421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389284052 + ... + 389316051.

Almost surely, 2^{12457601648000} is an apocalyptic number.

12457601648000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12457601648000 is an abundant number, since it is smaller than the sum of its proper divisors (18515110489120).

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

12457601648000 is an frugal number, since it uses more digits than its factorization.

12457601648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778600132 (or 778600110 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 12457601648000 in words is "twelve trillion, four hundred fifty-seven billion, six hundred one million, six hundred forty-eight thousand".