16684342675872 has 96 divisors (see below), whose sum is σ = 44291730450240. Its totient is φ = 5498557532160.

The previous prime is 16684342675849. The next prime is 16684342675883. The reversal of 16684342675872 is 27857624348661.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 16684342675797 and 16684342675806.

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, 130924378 + ... + 131051750.

It is an arithmetic number, because the mean of its divisors is an integer number (461372192190).

Almost surely, 2^{16684342675872} is an apocalyptic number.

16684342675872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16684342675872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145865225120).

16684342675872 is an abundant number, since it is smaller than the sum of its proper divisors (27607387774368).

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

16684342675872 is a wasteful number, since it uses less digits than its factorization.

16684342675872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142806 (or 142798 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 69.

The spelling of 16684342675872 in words is "sixteen trillion, six hundred eighty-four billion, three hundred forty-two million, six hundred seventy-five thousand, eight hundred seventy-two".