225573843600 has 960 divisors, whose sum is σ = 980127744000. Its totient is φ = 48161433600.

The previous prime is 225573843589. The next prime is 225573843617. The reversal of 225573843600 is 6348375522.

225573843600 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 7 + 38 + 4 + 3 + 600 = 666.

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 191 ways as a sum of consecutive naturals, for example, 67962741 + ... + 67966059.

It is an arithmetic number, because the mean of its divisors is an integer number (1020966400).

Almost surely, 2^225573843600 is an apocalyptic number.

225573843600 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 225573843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490063872000).

225573843600 is an abundant number, since it is smaller than the sum of its proper divisors (754553900400).

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

225573843600 is a wasteful number, since it uses less digits than its factorization.

225573843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 225573843600 in words is "two hundred twenty-five billion, five hundred seventy-three million, eight hundred forty-three thousand, six hundred".