225749847067200 has 252 divisors, whose sum is σ = 828251107211008. Its totient is φ = 58258024934400.

The previous prime is 225749847067183. The next prime is 225749847067201. The reversal of 225749847067200 is 2760748947522.

It is a happy number.

225749847067200 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 4 + 98 + 470 + 6 + 72 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (225749847067201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252409612 + ... + 253302411.

Almost surely, 2^{225749847067200} is an apocalyptic number.

225749847067200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225749847067200 is an abundant number, since it is smaller than the sum of its proper divisors (602501260143808).

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

225749847067200 is a wasteful number, since it uses less digits than its factorization.

225749847067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505712082 (or 505712064 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 225749847067200 in words is "two hundred twenty-five trillion, seven hundred forty-nine billion, eight hundred forty-seven million, sixty-seven thousand, two hundred".