225216849600 has 672 divisors, whose sum is σ = 874202976000. Its totient is φ = 56239349760.

The previous prime is 225216849587. The next prime is 225216849617. The reversal of 225216849600 is 6948612522.

225216849600 is a `hidden beast` number, since 2 + 2 + 521 + 68 + 4 + 9 + 60 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 73049659 + ... + 73052741.

Almost surely, 2^225216849600 is an apocalyptic number.

225216849600 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 225216849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437101488000).

225216849600 is an abundant number, since it is smaller than the sum of its proper divisors (648986126400).

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

225216849600 is a wasteful number, since it uses less digits than its factorization.

225216849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 225216849600 in words is "two hundred twenty-five billion, two hundred sixteen million, eight hundred forty-nine thousand, six hundred".