225753357312 has 1056 divisors, whose sum is σ = 844398963200. Its totient is φ = 58190856192.

The previous prime is 225753357281. The next prime is 225753357317. The reversal of 225753357312 is 213753357522.

225753357312 is a `hidden beast` number, since 2 + 2 + 5 + 75 + 3 + 3 + 573 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225753357317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3092511708 + ... + 3092511780.

Almost surely, 2^225753357312 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 225753357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422199481600).

225753357312 is an abundant number, since it is smaller than the sum of its proper divisors (618645605888).

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

225753357312 is a wasteful number, since it uses less digits than its factorization.

225753357312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 133 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 45.

The spelling of 225753357312 in words is "two hundred twenty-five billion, seven hundred fifty-three million, three hundred fifty-seven thousand, three hundred twelve".