200859416110144 has 91 divisors (see below), whose sum is σ = 438438444227911. Its totient is φ = 91299734595520.

The previous prime is 200859416110139. The next prime is 200859416110169. The reversal of 200859416110144 is 441011614958002.

It is a happy number.

The square root of 200859416110144 is 14172488.

The cubic root of 200859416110144 is 58564.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=2662.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200859416110094 and 200859416110103.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 18259946919099 + ... + 18259946919109.

Almost surely, 2^{200859416110144} is an apocalyptic number.

200859416110144 is the 14172488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200859416110144

200859416110144 is an abundant number, since it is smaller than the sum of its proper divisors (237579028117767).

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

200859416110144 is an frugal number, since it uses more digits than its factorization.

200859416110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 200859416110144 in words is "two hundred trillion, eight hundred fifty-nine billion, four hundred sixteen million, one hundred ten thousand, one hundred forty-four".