200148803115584 has 168 divisors, whose sum is σ = 417006399220992. Its totient is φ = 95269038796800.

The previous prime is 200148803115559. The next prime is 200148803115587. The reversal of 200148803115584 is 485511308841002.

It is a super-3 number, since 3×200148803115584³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (200148803115587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20387975444 + ... + 20387985260.

It is an arithmetic number, because the mean of its divisors is an integer number (2482180947744).

Almost surely, 2^{200148803115584} 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 200148803115584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208503199610496).

200148803115584 is an abundant number, since it is smaller than the sum of its proper divisors (216857596105408).

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

200148803115584 is an equidigital number, since it uses as much as digits as its factorization.

200148803115584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14901 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 50.

The spelling of 200148803115584 in words is "two hundred trillion, one hundred forty-eight billion, eight hundred three million, one hundred fifteen thousand, five hundred eighty-four".