225295773696 has 624 divisors, whose sum is σ = 768803852544. Its totient is φ = 62246486016.

The previous prime is 225295773667. The next prime is 225295773709. The reversal of 225295773696 is 696377592522.

225295773696 is a `hidden beast` number, since 2 + 2 + 5 + 29 + 577 + 36 + 9 + 6 = 666.

225295773696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1435004850 + ... + 1435005006.

It is an arithmetic number, because the mean of its divisors is an integer number (1232057456).

Almost surely, 2^225295773696 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 225295773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384401926272).

225295773696 is an abundant number, since it is smaller than the sum of its proper divisors (543508078848).

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

225295773696 is a wasteful number, since it uses less digits than its factorization.

225295773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

It can be divided in two parts, 225295 and 773696, that added together give a triangular number (998991 = T₁₄₁₃).

The spelling of 225295773696 in words is "two hundred twenty-five billion, two hundred ninety-five million, seven hundred seventy-three thousand, six hundred ninety-six".