225814206963800 has 192 divisors, whose sum is σ = 646194762763200. Its totient is φ = 71464403404800.

The previous prime is 225814206963749. The next prime is 225814206963809. The reversal of 225814206963800 is 8369602418522.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225814206963809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703615370 + ... + 703936230.

It is an arithmetic number, because the mean of its divisors is an integer number (3365597722725).

Almost surely, 2^{225814206963800} is an apocalyptic number.

225814206963800 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 225814206963800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323097381381600).

225814206963800 is an abundant number, since it is smaller than the sum of its proper divisors (420380555799400).

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

225814206963800 is a wasteful number, since it uses less digits than its factorization.

225814206963800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359566 (or 359557 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 225814206963800 in words is "two hundred twenty-five trillion, eight hundred fourteen billion, two hundred six million, nine hundred sixty-three thousand, eight hundred".