225735863808 has 320 divisors, whose sum is σ = 783699840000. Its totient is φ = 56032100352.

The previous prime is 225735863761. The next prime is 225735863809. The reversal of 225735863808 is 808368537522.

225735863808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225735863809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328693 + ... + 2423691.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062000).

Almost surely, 2^225735863808 is an apocalyptic number.

225735863808 is a gapful number since it is divisible by the number (28) 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 225735863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920000).

225735863808 is an abundant number, since it is smaller than the sum of its proper divisors (557963976192).

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

225735863808 is a wasteful number, since it uses less digits than its factorization.

225735863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95057 (or 95041 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 225735863808 in words is "two hundred twenty-five billion, seven hundred thirty-five million, eight hundred sixty-three thousand, eight hundred eight".