12814268947200 has 1620 divisors, whose sum is σ = 55271858202792. Its totient is φ = 2920690483200.

The previous prime is 12814268947189. The next prime is 12814268947223. The reversal of 12814268947200 is 274986241821.

12814268947200 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 426 + 8 + 9 + 4 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 16282425207 + ... + 16282425993.

Almost surely, 2^{12814268947200} is an apocalyptic number.

12814268947200 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 12814268947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27635929101396).

12814268947200 is an abundant number, since it is smaller than the sum of its proper divisors (42457589255592).

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

12814268947200 is an equidigital number, since it uses as much as digits as its factorization.

12814268947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12814268947200 in words is "twelve trillion, eight hundred fourteen billion, two hundred sixty-eight million, nine hundred forty-seven thousand, two hundred".