225548697600 has 414 divisors, whose sum is σ = 811346069040. Its totient is φ = 59894661120.

The previous prime is 225548697589. The next prime is 225548697617. The reversal of 225548697600 is 6796845522.

225548697600 is a `hidden beast` number, since 2 + 2 + 5 + 548 + 6 + 97 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 943718281 + ... + 943718519.

Almost surely, 2^225548697600 is an apocalyptic number.

225548697600 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 225548697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405673034520).

225548697600 is an abundant number, since it is smaller than the sum of its proper divisors (585797371440).

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

225548697600 is an frugal number, since it uses more digits than its factorization.

225548697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 225548697600 in words is "two hundred twenty-five billion, five hundred forty-eight million, six hundred ninety-seven thousand, six hundred".