200648488000 has 112 divisors (see below), whose sum is σ = 497598429744. Its totient is φ = 80147558400.

The previous prime is 200648487989. The next prime is 200648488013. The reversal of 200648488000 is 884846002.

200648488000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1827904 + 200646660096 = 1352^2 + 447936^2 .

It is a super-2 number, since 2×200648488000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5846892 + ... + 5881108.

Almost surely, 2^200648488000 is an apocalyptic number.

200648488000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200648488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248799214872).

200648488000 is an abundant number, since it is smaller than the sum of its proper divisors (296949941744).

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

200648488000 is an equidigital number, since it uses as much as digits as its factorization.

200648488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34977 (or 34957 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 200648488000 in words is "two hundred billion, six hundred forty-eight million, four hundred eighty-eight thousand".