225452943360 has 576 divisors, whose sum is σ = 805764108240. Its totient is φ = 58274611200.

The previous prime is 225452943349. The next prime is 225452943377. The reversal of 225452943360 is 63349254522.

225452943360 is a `hidden beast` number, since 2 + 2 + 54 + 529 + 43 + 36 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 212248175616 + 13204767744 = 460704^2 + 114912^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493332252 + ... + 493332708.

Almost surely, 2^225452943360 is an apocalyptic number.

225452943360 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 225452943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402882054120).

225452943360 is an abundant number, since it is smaller than the sum of its proper divisors (580311164880).

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

225452943360 is a wasteful number, since it uses less digits than its factorization.

225452943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 225452943360 in words is "two hundred twenty-five billion, four hundred fifty-two million, nine hundred forty-three thousand, three hundred sixty".