12716117664 has 96 divisors (see below), whose sum is σ = 35644976640. Its totient is φ = 3960499200.

The previous prime is 12716117653. The next prime is 12716117677. The reversal of 12716117664 is 46671161721.

It is a happy number.

12716117664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 12634 + ... + 159974.

It is an arithmetic number, because the mean of its divisors is an integer number (371301840).

Almost surely, 2^12716117664 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 12716117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17822488320).

12716117664 is an abundant number, since it is smaller than the sum of its proper divisors (22928858976).

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

12716117664 is a wasteful number, since it uses less digits than its factorization.

12716117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147414 (or 147406 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The spelling of 12716117664 in words is "twelve billion, seven hundred sixteen million, one hundred seventeen thousand, six hundred sixty-four".