225869471568 has 320 divisors, whose sum is σ = 740607598080. Its totient is φ = 65291968512.

The previous prime is 225869471567. The next prime is 225869471591. The reversal of 225869471568 is 865174968522.

225869471568 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 69 + 4 + 7 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225869471567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62341405 + ... + 62345027.

It is an arithmetic number, because the mean of its divisors is an integer number (2314398744).

Almost surely, 2^225869471568 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 225869471568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370303799040).

225869471568 is an abundant number, since it is smaller than the sum of its proper divisors (514738126512).

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

225869471568 is a wasteful number, since it uses less digits than its factorization.

225869471568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4311 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 225869471568 in words is "two hundred twenty-five billion, eight hundred sixty-nine million, four hundred seventy-one thousand, five hundred sixty-eight".