12916443648000 has 416 divisors, whose sum is σ = 43197682694400. Its totient is φ = 3426995404800.

The previous prime is 12916443647971. The next prime is 12916443648013. The reversal of 12916443648000 is 84634461921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305642872 + ... + 305685128.

It is an arithmetic number, because the mean of its divisors is an integer number (103840583400).

Almost surely, 2^{12916443648000} is an apocalyptic number.

12916443648000 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 12916443648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598841347200).

12916443648000 is an abundant number, since it is smaller than the sum of its proper divisors (30281239046400).

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

12916443648000 is an equidigital number, since it uses as much as digits as its factorization.

12916443648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42498 (or 42466 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 12916443648000 in words is "twelve trillion, nine hundred sixteen billion, four hundred forty-three million, six hundred forty-eight thousand".