225106947072 has 660 divisors, whose sum is σ = 791407520904. Its totient is φ = 63541739520.

The previous prime is 225106947049. The next prime is 225106947103. The reversal of 225106947072 is 270749601522.

225106947072 is a `hidden beast` number, since 2 + 2 + 5 + 106 + 9 + 470 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 394232547 + ... + 394233117.

Almost surely, 2^225106947072 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 225106947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395703760452).

225106947072 is an abundant number, since it is smaller than the sum of its proper divisors (566300573832).

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

225106947072 is an equidigital number, since it uses as much as digits as its factorization.

225106947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 225106947072 in words is "two hundred twenty-five billion, one hundred six million, nine hundred forty-seven thousand, seventy-two".