12746948864000 has 768 divisors, whose sum is σ = 35945062433280. Its totient is φ = 4476764160000.

The previous prime is 12746948863991. The next prime is 12746948864011. The reversal of 12746948864000 is 46884964721.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18447103655 + ... + 18447104345.

It is an arithmetic number, because the mean of its divisors is an integer number (46803466710).

Almost surely, 2^{12746948864000} is an apocalyptic number.

12746948864000 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 12746948864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17972531216640).

12746948864000 is an abundant number, since it is smaller than the sum of its proper divisors (23198113569280).

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

12746948864000 is a wasteful number, since it uses less digits than its factorization.

12746948864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 12746948864000 in words is "twelve trillion, seven hundred forty-six billion, nine hundred forty-eight million, eight hundred sixty-four thousand".