12631707648000 has 3072 divisors, whose sum is σ = 56564359488000. Its totient is φ = 2809213747200.

The previous prime is 12631707647989. The next prime is 12631707648059. The reversal of 12631707648000 is 84670713621.

12631707648000 is a `hidden beast` number, since 1 + 2 + 6 + 31 + 70 + 76 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341397503982 + ... + 341397504018.

Almost surely, 2^{12631707648000} is an apocalyptic number.

12631707648000 is a gapful number since it is divisible by the number (10) 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 12631707648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28282179744000).

12631707648000 is an abundant number, since it is smaller than the sum of its proper divisors (43932651840000).

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

12631707648000 is an frugal number, since it uses more digits than its factorization.

12631707648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12631707648000 in words is "twelve trillion, six hundred thirty-one billion, seven hundred seven million, six hundred forty-eight thousand".