208985699328 has 528 divisors, whose sum is σ = 672519087360. Its totient is φ = 57484836864.

The previous prime is 208985699317. The next prime is 208985699333. The reversal of 208985699328 is 823996589802.

208985699328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208985699328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874417033 + ... + 874417271.

Almost surely, 2^208985699328 is an apocalyptic number.

208985699328 is a gapful number since it is divisible by the number (28) 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 208985699328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336259543680).

208985699328 is an abundant number, since it is smaller than the sum of its proper divisors (463533388032).

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

208985699328 is a wasteful number, since it uses less digits than its factorization.

208985699328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 208985699328 in words is "two hundred eight billion, nine hundred eighty-five million, six hundred ninety-nine thousand, three hundred twenty-eight".