200394459405625 has 45 divisors (see below), whose sum is σ = 252698999840859. Its totient is φ = 158865136080000.

The previous prime is 200394459405593. The next prime is 200394459405631. The reversal of 200394459405625 is 526504954493002.

It is a happy number.

The square root of 200394459405625 is 14156075.

It is a perfect power (a square), and thus also a powerful number.

200394459405625 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 7 ways, for example, as 195880262292729 + 4514197112896 = 13995723^2 + 2124664^2 .

It is not a de Polignac number, because 200394459405625 - 2⁵ = 200394459405593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200394459405625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39990909370 + ... + 39990914380.

Almost surely, 2^{200394459405625} is an apocalyptic number.

200394459405625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200394459405625 is the 14156075-th square number.

200394459405625 is the 7078038-th centered octagonal number.

It is an amenable number.

200394459405625 is a deficient number, since it is larger than the sum of its proper divisors (52304540435234).

200394459405625 is an frugal number, since it uses more digits than its factorization.

200394459405625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 58.

The spelling of 200394459405625 in words is "two hundred trillion, three hundred ninety-four billion, four hundred fifty-nine million, four hundred five thousand, six hundred twenty-five".