663114312200 has 108 divisors (see below), whose sum is σ = 1565691841485. Its totient is φ = 261187416000.

The previous prime is 663114312181. The next prime is 663114312209. The reversal of 663114312200 is 2213411366.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 649852025956 + 13262286244 = 806134^2 + 115162^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=575810.

It is not an unprimeable number, because it can be changed into a prime (663114312209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 817649795 + ... + 817650605.

Almost surely, 2^663114312200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663114312200

663114312200 is an abundant number, since it is smaller than the sum of its proper divisors (902577529285).

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

663114312200 is an frugal number, since it uses more digits than its factorization.

663114312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 663114312200 its reverse (2213411366), we get a palindrome (665327723566).

The spelling of 663114312200 in words is "six hundred sixty-three billion, one hundred fourteen million, three hundred twelve thousand, two hundred".