16895489907114 has 192 divisors, whose sum is σ = 46034233749504. Its totient is φ = 4359156974208.

The previous prime is 16895489907091. The next prime is 16895489907173. The reversal of 16895489907114 is 41170998459861.

16895489907114 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 548 + 9 + 9 + 0 + 71 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172630677 + ... + 172728519.

It is an arithmetic number, because the mean of its divisors is an integer number (239761634112).

Almost surely, 2^{16895489907114} is an apocalyptic number.

16895489907114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16895489907114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23017116874752).

16895489907114 is an abundant number, since it is smaller than the sum of its proper divisors (29138743842390).

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

16895489907114 is a wasteful number, since it uses less digits than its factorization.

16895489907114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100161 (or 100158 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 16895489907114 in words is "sixteen trillion, eight hundred ninety-five billion, four hundred eighty-nine million, nine hundred seven thousand, one hundred fourteen".