200834837316 has 189 divisors, whose sum is σ = 542299811949. Its totient is φ = 65049288192.

The previous prime is 200834837311. The next prime is 200834837317. The reversal of 200834837316 is 613738438002.

The square root of 200834837316 is 448146.

It is a perfect power (a square), and thus also a powerful number.

200834837316 is a `hidden beast` number, since 20 + 0 + 83 + 483 + 73 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48659948100 + 152174889216 = 220590^2 + 390096^2 .

It is not an unprimeable number, because it can be changed into a prime (200834837311) 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 62 ways as a sum of consecutive naturals, for example, 1040594916 + ... + 1040595108.

Almost surely, 2^200834837316 is an apocalyptic number.

200834837316 is the 448146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200834837316

200834837316 is an abundant number, since it is smaller than the sum of its proper divisors (341464974633).

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

200834837316 is an frugal number, since it uses more digits than its factorization.

200834837316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 200834837316 in words is "two hundred billion, eight hundred thirty-four million, eight hundred thirty-seven thousand, three hundred sixteen".