16688275468172 has 192 divisors, whose sum is σ = 37281367818240. Its totient is φ = 6348467923200.

The previous prime is 16688275468169. The next prime is 16688275468231. The reversal of 16688275468172 is 27186457288661.

It is a junction number, because it is equal to n+sod(n) for n = 16688275468096 and 16688275468105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972372022 + ... + 1972380482.

It is an arithmetic number, because the mean of its divisors is an integer number (194173790720).

Almost surely, 2^{16688275468172} 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 16688275468172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640683909120).

16688275468172 is an abundant number, since it is smaller than the sum of its proper divisors (20593092350068).

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

16688275468172 is a wasteful number, since it uses less digits than its factorization.

16688275468172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9450 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 71.

The spelling of 16688275468172 in words is "sixteen trillion, six hundred eighty-eight billion, two hundred seventy-five million, four hundred sixty-eight thousand, one hundred seventy-two".