12616794374304 has 384 divisors, whose sum is σ = 35116147261440. Its totient is φ = 3960742109184.

The previous prime is 12616794374213. The next prime is 12616794374347. The reversal of 12616794374304 is 40347349761621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7568562079 + ... + 7568563745.

It is an arithmetic number, because the mean of its divisors is an integer number (91448300160).

Almost surely, 2^{12616794374304} 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 12616794374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558073630720).

12616794374304 is an abundant number, since it is smaller than the sum of its proper divisors (22499352887136).

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

12616794374304 is a wasteful number, since it uses less digits than its factorization.

12616794374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 12616794374304 in words is "twelve trillion, six hundred sixteen billion, seven hundred ninety-four million, three hundred seventy-four thousand, three hundred four".