16808305536 has 288 divisors, whose sum is σ = 54618072600. Its totient is φ = 4954245120.

The previous prime is 16808305531. The next prime is 16808305607. The reversal of 16808305536 is 63550380861.

16808305536 is a `hidden beast` number, since 1 + 6 + 80 + 8 + 30 + 5 + 536 = 666.

16808305536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 16808305491 and 16808305500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16808305531) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5155875 + ... + 5159133.

Almost surely, 2^16808305536 is an apocalyptic number.

16808305536 is a gapful number since it is divisible by the number (16) 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 16808305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27309036300).

16808305536 is an abundant number, since it is smaller than the sum of its proper divisors (37809767064).

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

16808305536 is a wasteful number, since it uses less digits than its factorization.

16808305536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 1680830 and 5536, that added together give a triangular number (1686366 = T₁₈₃₆).

The spelling of 16808305536 in words is "sixteen billion, eight hundred eight million, three hundred five thousand, five hundred thirty-six".