225116831826 has 160 divisors (see below), whose sum is σ = 557543658672. Its totient is φ = 67587747840.

The previous prime is 225116831803. The next prime is 225116831831. The reversal of 225116831826 is 628138611522.

225116831826 is a `hidden beast` number, since 2 + 251 + 1 + 68 + 318 + 26 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80602049025 + 144514782801 = 283905^2 + 380151^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6197670 + ... + 6233886.

Almost surely, 2^225116831826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225116831826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278771829336).

225116831826 is an abundant number, since it is smaller than the sum of its proper divisors (332426826846).

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

225116831826 is a wasteful number, since it uses less digits than its factorization.

225116831826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36346 (or 36337 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 225116831826 in words is "two hundred twenty-five billion, one hundred sixteen million, eight hundred thirty-one thousand, eight hundred twenty-six".