12728645694 has 192 divisors, whose sum is σ = 31181230080. Its totient is φ = 3879912960.

The previous prime is 12728645689. The next prime is 12728645701. The reversal of 12728645694 is 49654682721.

12728645694 is a `hidden beast` number, since 1 + 2 + 72 + 8 + 6 + 4 + 569 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12728645694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37770294 + ... + 37770630.

It is an arithmetic number, because the mean of its divisors is an integer number (162402240).

Almost surely, 2^12728645694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12728645694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590615040).

12728645694 is an abundant number, since it is smaller than the sum of its proper divisors (18452584386).

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

12728645694 is a wasteful number, since it uses less digits than its factorization.

12728645694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 12728645694 in words is "twelve billion, seven hundred twenty-eight million, six hundred forty-five thousand, six hundred ninety-four".