225564458933520 has 640 divisors, whose sum is σ = 934982557286400. Its totient is φ = 48827687749632.

The previous prime is 225564458933507. The next prime is 225564458933533. The reversal of 225564458933520 is 25339854465522.

225564458933520 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 6 + 44 + 589 + 3 + 3 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225564458933507) and next prime (225564458933533).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 868317574 + ... + 868577306.

It is an arithmetic number, because the mean of its divisors is an integer number (1460910245760).

Almost surely, 2^{225564458933520} is an apocalyptic number.

225564458933520 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 225564458933520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467491278643200).

225564458933520 is an abundant number, since it is smaller than the sum of its proper divisors (709418098352880).

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

225564458933520 is a wasteful number, since it uses less digits than its factorization.

225564458933520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262804 (or 262792 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 63.

The spelling of 225564458933520 in words is "two hundred twenty-five trillion, five hundred sixty-four billion, four hundred fifty-eight million, nine hundred thirty-three thousand, five hundred twenty".