12746904696000 has 672 divisors, whose sum is σ = 46530190586880. Its totient is φ = 3330332928000.

The previous prime is 12746904695951. The next prime is 12746904696007. The reversal of 12746904696000 is 69640964721.

It is a happy number.

12746904696000 is a `hidden beast` number, since 1 + 27 + 4 + 6 + 9 + 0 + 4 + 6 + 9 + 600 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12746904696007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745119447 + ... + 745136553.

It is an arithmetic number, because the mean of its divisors is an integer number (69241355040).

Almost surely, 2^{12746904696000} is an apocalyptic number.

12746904696000 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 12746904696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265095293440).

12746904696000 is an abundant number, since it is smaller than the sum of its proper divisors (33783285890880).

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

12746904696000 is a wasteful number, since it uses less digits than its factorization.

12746904696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17350 (or 17327 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12746904696000 in words is "twelve trillion, seven hundred forty-six billion, nine hundred four million, six hundred ninety-six thousand".