225287353368 has 384 divisors, whose sum is σ = 795002757120. Its totient is φ = 55936500480.

The previous prime is 225287353367. The next prime is 225287353387. The reversal of 225287353368 is 863353782522.

It is a happy number.

225287353368 is a `hidden beast` number, since 2 + 2 + 5 + 287 + 353 + 3 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225287353363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11194371 + ... + 11214477.

It is an arithmetic number, because the mean of its divisors is an integer number (2070319680).

Almost surely, 2^225287353368 is an apocalyptic number.

225287353368 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 225287353368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397501378560).

225287353368 is an abundant number, since it is smaller than the sum of its proper divisors (569715403752).

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

225287353368 is a wasteful number, since it uses less digits than its factorization.

225287353368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20227 (or 20220 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 225287353368 in words is "two hundred twenty-five billion, two hundred eighty-seven million, three hundred fifty-three thousand, three hundred sixty-eight".