8191416688128 has 360 divisors, whose sum is σ = 25841258706120. Its totient is φ = 2586743009280.

The previous prime is 8191416688057. The next prime is 8191416688163. The reversal of 8191416688128 is 8218866141918.

8191416688128 is a `hidden beast` number, since 8 + 1 + 91 + 416 + 6 + 8 + 8 + 128 = 666.

It is a super-2 number, since 2×8191416688128² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63761238 + ... + 63889578.

Almost surely, 2^{8191416688128} 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 8191416688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920629353060).

8191416688128 is an abundant number, since it is smaller than the sum of its proper divisors (17649842017992).

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

8191416688128 is an frugal number, since it uses more digits than its factorization.

8191416688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128402 (or 128365 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 63.

The spelling of 8191416688128 in words is "eight trillion, one hundred ninety-one billion, four hundred sixteen million, six hundred eighty-eight thousand, one hundred twenty-eight".