208564816096 has 96 divisors (see below), whose sum is σ = 531967080960. Its totient is φ = 78166550016.

The previous prime is 208564816043. The next prime is 208564816099. The reversal of 208564816096 is 690618465802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208564816099) 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 15 ways as a sum of consecutive naturals, for example, 1829476 + ... + 1940131.

It is an arithmetic number, because the mean of its divisors is an integer number (5541323760).

Almost surely, 2^208564816096 is an apocalyptic number.

208564816096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

208564816096 is an abundant number, since it is smaller than the sum of its proper divisors (323402264864).

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

208564816096 is a wasteful number, since it uses less digits than its factorization.

208564816096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769656 (or 3769648 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 208564816096 in words is "two hundred eight billion, five hundred sixty-four million, eight hundred sixteen thousand, ninety-six".