200819600641 has 9 divisors (see below), whose sum is σ = 220741012513. Its totient is φ = 182558792020.

The previous prime is 200819600627. The next prime is 200819600659. The reversal of 200819600641 is 146006918002.

It is a happy number.

The square root of 200819600641 is 448129.

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

200819600641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200819600641 - 2¹¹ = 200819598593 is a prime.

It is a super-2 number, since 2×200819600641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200819600641.

It is not an unprimeable number, because it can be changed into a prime (200819600671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4909050 + ... + 4949788.

Almost surely, 2^200819600641 is an apocalyptic number.

200819600641 is the 448129-th square number.

200819600641 is the 224065-th centered octagonal number.

It is an amenable number.

200819600641 is a deficient number, since it is larger than the sum of its proper divisors (19921411872).

200819600641 is an frugal number, since it uses more digits than its factorization.

200819600641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81500 (or 40750 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 200819600641 in words is "two hundred billion, eight hundred nineteen million, six hundred thousand, six hundred forty-one".