200814223129 has 9 divisors (see below), whose sum is σ = 217456029279. Its totient is φ = 185361597720.

The previous prime is 200814223109. The next prime is 200814223133. The reversal of 200814223129 is 921322418002.

It is a happy number.

The square root of 200814223129 is 448123.

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

It can be written as a sum of positive squares in only one way, i.e., 29706246025 + 171107977104 = 172355^2 + 413652^2 .

It is not a de Polignac number, because 200814223129 - 2⁹ = 200814222617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200814223094 and 200814223103.

It is not an unprimeable number, because it can be changed into a prime (200814223109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5808364 + ... + 5842834.

It is an arithmetic number, because the mean of its divisors is an integer number (24161781031).

Almost surely, 2^200814223129 is an apocalyptic number.

200814223129 is the 448123-rd square number.

200814223129 is the 224062-nd centered octagonal number.

It is an amenable number.

200814223129 is a deficient number, since it is larger than the sum of its proper divisors (16641806150).

200814223129 is an frugal number, since it uses more digits than its factorization.

200814223129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68968 (or 34484 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 200814223129 in words is "two hundred billion, eight hundred fourteen million, two hundred twenty-three thousand, one hundred twenty-nine".