11716687465728 has 288 divisors, whose sum is σ = 35900166629376. Its totient is φ = 3323077730304.

The previous prime is 11716687465727. The next prime is 11716687465741. The reversal of 11716687465728 is 82756478661711.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11716687465727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693984775 + ... + 694001657.

It is an arithmetic number, because the mean of its divisors is an integer number (124653356352).

Almost surely, 2^{11716687465728} 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 11716687465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950083314688).

11716687465728 is an abundant number, since it is smaller than the sum of its proper divisors (24183479163648).

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

11716687465728 is a wasteful number, since it uses less digits than its factorization.

11716687465728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17849 (or 17835 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 69.

The spelling of 11716687465728 in words is "eleven trillion, seven hundred sixteen billion, six hundred eighty-seven million, four hundred sixty-five thousand, seven hundred twenty-eight".