200934816000 has 144 divisors (see below), whose sum is σ = 667405310208. Its totient is φ = 53582592000.

The previous prime is 200934815899. The next prime is 200934816023. The reversal of 200934816000 is 618439002.

It is an unprimeable number.

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, 950536 + ... + 1142535.

Almost surely, 2^200934816000 is an apocalyptic number.

200934816000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200934816000 is an abundant number, since it is smaller than the sum of its proper divisors (466470494208).

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

200934816000 is an equidigital number, since it uses as much as digits as its factorization.

200934816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093105 (or 2093081 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 200934816000 in words is "two hundred billion, nine hundred thirty-four million, eight hundred sixteen thousand".