225350810664 has 384 divisors, whose sum is σ = 683073699840. Its totient is φ = 61918601472.

The previous prime is 225350810651. The next prime is 225350810681. The reversal of 225350810664 is 466018053522.

It is a super-2 number, since 2×225350810664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1774415769 + ... + 1774415895.

It is an arithmetic number, because the mean of its divisors is an integer number (1778837760).

Almost surely, 2^225350810664 is an apocalyptic number.

225350810664 is a gapful number since it is divisible by the number (24) 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 225350810664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341536849920).

225350810664 is an abundant number, since it is smaller than the sum of its proper divisors (457722889176).

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

225350810664 is an equidigital number, since it uses as much as digits as its factorization.

225350810664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 225350810664 in words is "two hundred twenty-five billion, three hundred fifty million, eight hundred ten thousand, six hundred sixty-four".