12834746498304 has 216 divisors, whose sum is σ = 38620778344512. Its totient is φ = 4091592130560.

The previous prime is 12834746498291. The next prime is 12834746498339. The reversal of 12834746498304 is 40389464743821.

12834746498304 is a `hidden beast` number, since 1 + 2 + 83 + 4 + 7 + 464 + 98 + 3 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424821759 + ... + 424851969.

Almost surely, 2^{12834746498304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12834746498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310389172256).

12834746498304 is an abundant number, since it is smaller than the sum of its proper divisors (25786031846208).

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

12834746498304 is a wasteful number, since it uses less digits than its factorization.

12834746498304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38273 (or 38256 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 12834746498304 in words is "twelve trillion, eight hundred thirty-four billion, seven hundred forty-six million, four hundred ninety-eight thousand, three hundred four".