225984219821568 has 1440 divisors, whose sum is σ = 741639236738400. Its totient is φ = 66129783422976.

The previous prime is 225984219821519. The next prime is 225984219821609. The reversal of 225984219821568 is 865128912489522.

225984219821568 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 8 + 42 + 19 + 8 + 2 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 225984219821496 and 225984219821505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 605855817030 + ... + 605855817402.

It is an arithmetic number, because the mean of its divisors is an integer number (515027247735).

Almost surely, 2^{225984219821568} 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 225984219821568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370819618369200).

225984219821568 is an abundant number, since it is smaller than the sum of its proper divisors (515655016916832).

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

225984219821568 is a wasteful number, since it uses less digits than its factorization.

225984219821568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 752 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 72.

The spelling of 225984219821568 in words is "two hundred twenty-five trillion, nine hundred eighty-four billion, two hundred nineteen million, eight hundred twenty-one thousand, five hundred sixty-eight".