200819470656 has 336 divisors, whose sum is σ = 654097508160. Its totient is φ = 54066216960.

The previous prime is 200819470651. The next prime is 200819470703. The reversal of 200819470656 is 656074918002.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200819470651) 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, 34496226 + ... + 34502046.

Almost surely, 2^200819470656 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 200819470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327048754080).

200819470656 is an abundant number, since it is smaller than the sum of its proper divisors (453278037504).

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

200819470656 is a wasteful number, since it uses less digits than its factorization.

200819470656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 200819470656 in words is "two hundred billion, eight hundred nineteen million, four hundred seventy thousand, six hundred fifty-six".