206464402144 has 288 divisors, whose sum is σ = 579776956416. Its totient is φ = 69881978880.

The previous prime is 206464402103. The next prime is 206464402159. The reversal of 206464402144 is 441204464602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9246097 + ... + 9268399.

It is an arithmetic number, because the mean of its divisors is an integer number (2013114432).

Almost surely, 2^206464402144 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 206464402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289888478208).

206464402144 is an abundant number, since it is smaller than the sum of its proper divisors (373312554272).

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

206464402144 is a wasteful number, since it uses less digits than its factorization.

206464402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22378 (or 22353 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 206464402144 its reverse (441204464602), we get a palindrome (647668866746).

The spelling of 206464402144 in words is "two hundred six billion, four hundred sixty-four million, four hundred two thousand, one hundred forty-four".