225946910592 has 240 divisors, whose sum is σ = 728122954680. Its totient is φ = 69521587200.

The previous prime is 225946910551. The next prime is 225946910593. The reversal of 225946910592 is 295019649522.

225946910592 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 46 + 9 + 1 + 0 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225946910593) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1687717 + ... + 1816667.

Almost surely, 2^225946910592 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 225946910592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364061477340).

225946910592 is an abundant number, since it is smaller than the sum of its proper divisors (502176044088).

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

225946910592 is a wasteful number, since it uses less digits than its factorization.

225946910592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129003 (or 128969 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 225946910592 in words is "two hundred twenty-five billion, nine hundred forty-six million, nine hundred ten thousand, five hundred ninety-two".