225500365469568 has 384 divisors, whose sum is σ = 744578504928000. Its totient is φ = 59068722216960.

The previous prime is 225500365469539. The next prime is 225500365469573. The reversal of 225500365469568 is 865964563005522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 225500365469499 and 225500365469508.

It is a congruent number.

It is an unprimeable number.

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, 46782928 + ... + 51377456.

It is an arithmetic number, because the mean of its divisors is an integer number (1939006523250).

Almost surely, 2^{225500365469568} is an apocalyptic number.

225500365469568 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 225500365469568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372289252464000).

225500365469568 is an abundant number, since it is smaller than the sum of its proper divisors (519078139458432).

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

225500365469568 is a wasteful number, since it uses less digits than its factorization.

225500365469568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594634 (or 4594591 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 66.

The spelling of 225500365469568 in words is "two hundred twenty-five trillion, five hundred billion, three hundred sixty-five million, four hundred sixty-nine thousand, five hundred sixty-eight".