200011648032 has 576 divisors, whose sum is σ = 693953568000. Its totient is φ = 55870746624.

The previous prime is 200011648019. The next prime is 200011648117. The reversal of 200011648032 is 230846110002.

200011648032 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 11 + 648 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200011647987 and 200011648005.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 410701293 + ... + 410701779.

It is an arithmetic number, because the mean of its divisors is an integer number (1204780500).

Almost surely, 2^200011648032 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 200011648032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346976784000).

200011648032 is an abundant number, since it is smaller than the sum of its proper divisors (493941919968).

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

200011648032 is a wasteful number, since it uses less digits than its factorization.

200011648032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 200011648032 its reverse (230846110002), we get a palindrome (430857758034).

The spelling of 200011648032 in words is "two hundred billion, eleven million, six hundred forty-eight thousand, thirty-two".