200281821193216 has 99 divisors (see below), whose sum is σ = 465741639457059. Its totient is φ = 85833707624448.

The previous prime is 200281821193199. The next prime is 200281821193231. The reversal of 200281821193216 is 612391128182002.

The square root of 200281821193216 is 14152096.

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

It is a super-2 number, since 2×200281821193216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3170037915 + ... + 3170101093.

Almost surely, 2^{200281821193216} is an apocalyptic number.

200281821193216 is the 14152096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200281821193216

200281821193216 is an abundant number, since it is smaller than the sum of its proper divisors (265459818263843).

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

200281821193216 is an frugal number, since it uses more digits than its factorization.

200281821193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126392 (or 63188 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 200281821193216 in words is "two hundred trillion, two hundred eighty-one billion, eight hundred twenty-one million, one hundred ninety-three thousand, two hundred sixteen".