225353210112 has 108 divisors (see below), whose sum is σ = 651968386524. Its totient is φ = 74861137920.

The previous prime is 225353210107. The next prime is 225353210141. The reversal of 225353210112 is 211012353522.

225353210112 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 532 + 10 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133675059456 + 91678150656 = 365616^2 + 302784^2 .

It is a super-3 number, since 3×225353210112³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508162 + ... + 841982.

Almost surely, 2^225353210112 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 225353210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325984193262).

225353210112 is an abundant number, since it is smaller than the sum of its proper divisors (426615176412).

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

225353210112 is a wasteful number, since it uses less digits than its factorization.

225353210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334136 (or 334119 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 225353210112 its reverse (211012353522), we get a palindrome (436365563634).

The spelling of 225353210112 in words is "two hundred twenty-five billion, three hundred fifty-three million, two hundred ten thousand, one hundred twelve".