225936691200 has 2496 divisors, whose sum is σ = 1053061171200. Its totient is φ = 46714060800.

The previous prime is 225936691199. The next prime is 225936691247. The reversal of 225936691200 is 2196639522.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9823334389 + ... + 9823334411.

Almost surely, 2^225936691200 is an apocalyptic number.

225936691200 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 225936691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526530585600).

225936691200 is an abundant number, since it is smaller than the sum of its proper divisors (827124480000).

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

225936691200 is a wasteful number, since it uses less digits than its factorization.

225936691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 225936691200 in words is "two hundred twenty-five billion, nine hundred thirty-six million, six hundred ninety-one thousand, two hundred".