16609359312 has 640 divisors, whose sum is σ = 64345881600. Its totient is φ = 3976003584.

The previous prime is 16609359301. The next prime is 16609359313. The reversal of 16609359312 is 21395390661.

16609359312 is a `hidden beast` number, since 1 + 6 + 609 + 3 + 5 + 9 + 31 + 2 = 666.

It is a super-2 number, since 2×16609359312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16609359313) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 19380388 + ... + 19381244.

It is an arithmetic number, because the mean of its divisors is an integer number (100540440).

Almost surely, 2^16609359312 is an apocalyptic number.

16609359312 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 16609359312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32172940800).

16609359312 is an abundant number, since it is smaller than the sum of its proper divisors (47736522288).

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

16609359312 is a wasteful number, since it uses less digits than its factorization.

16609359312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 16609359312 in words is "sixteen billion, six hundred nine million, three hundred fifty-nine thousand, three hundred twelve".