225553918208 has 144 divisors (see below), whose sum is σ = 478095851520. Its totient is φ = 105986377728.

The previous prime is 225553918189. The next prime is 225553918217. The reversal of 225553918208 is 802819355522.

It is a super-3 number, since 3×225553918208³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80010623 + ... + 80013441.

It is an arithmetic number, because the mean of its divisors is an integer number (3320110080).

Almost surely, 2^225553918208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225553918208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047925760).

225553918208 is an abundant number, since it is smaller than the sum of its proper divisors (252541933312).

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

225553918208 is a wasteful number, since it uses less digits than its factorization.

225553918208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 50.

The spelling of 225553918208 in words is "two hundred twenty-five billion, five hundred fifty-three million, nine hundred eighteen thousand, two hundred eight".