200212011648 has 384 divisors, whose sum is σ = 641216684160. Its totient is φ = 59454259200.

The previous prime is 200212011647. The next prime is 200212011709. The reversal of 200212011648 is 846110212002.

200212011648 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 2 + 0 + 11 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (200212011647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 173643840 + ... + 173644992.

It is an arithmetic number, because the mean of its divisors is an integer number (1669835115).

Almost surely, 2^200212011648 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 200212011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320608342080).

200212011648 is an abundant number, since it is smaller than the sum of its proper divisors (441004672512).

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

200212011648 is a wasteful number, since it uses less digits than its factorization.

200212011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 200212011648 in words is "two hundred billion, two hundred twelve million, eleven thousand, six hundred forty-eight".