225918443520 has 1344 divisors, whose sum is σ = 1021984646400. Its totient is φ = 46820229120.

The previous prime is 225918443447. The next prime is 225918443557. The reversal of 225918443520 is 25344819522.

225918443520 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 1 + 84 + 43 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596090691 + ... + 596091069.

Almost surely, 2^225918443520 is an apocalyptic number.

225918443520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225918443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510992323200).

225918443520 is an abundant number, since it is smaller than the sum of its proper divisors (796066202880).

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

225918443520 is a wasteful number, since it uses less digits than its factorization.

225918443520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 225918443520 in words is "two hundred twenty-five billion, nine hundred eighteen million, four hundred forty-three thousand, five hundred twenty".