16682304574208 has 432 divisors, whose sum is σ = 42616650424320. Its totient is φ = 6458583785472.

The previous prime is 16682304574183. The next prime is 16682304574213. The reversal of 16682304574208 is 80247540328661.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448236673 + ... + 1448248191.

It is an arithmetic number, because the mean of its divisors is an integer number (98649653760).

Almost surely, 2^{16682304574208} 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 16682304574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21308325212160).

16682304574208 is an abundant number, since it is smaller than the sum of its proper divisors (25934345850112).

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

16682304574208 is a wasteful number, since it uses less digits than its factorization.

16682304574208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 16682304574208 in words is "sixteen trillion, six hundred eighty-two billion, three hundred four million, five hundred seventy-four thousand, two hundred eight".