225458808307200 has 6480 divisors, whose sum is σ = 1031799602853360. Its totient is φ = 48146483773440.

The previous prime is 225458808307171. The next prime is 225458808307207. The reversal of 225458808307200 is 2703808854522.

225458808307200 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 58 + 80 + 8 + 307 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225458808307207) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 6093481305582 + ... + 6093481305618.

Almost surely, 2^{225458808307200} is an apocalyptic number.

225458808307200 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 225458808307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515899801426680).

225458808307200 is an abundant number, since it is smaller than the sum of its proper divisors (806340794546160).

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

225458808307200 is a wasteful number, since it uses less digits than its factorization.

225458808307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 225458808307200 in words is "two hundred twenty-five trillion, four hundred fifty-eight billion, eight hundred eight million, three hundred seven thousand, two hundred".