225554841600 has 1080 divisors, whose sum is σ = 862467808944. Its totient is φ = 51904512000.

The previous prime is 225554841581. The next prime is 225554841613. The reversal of 225554841600 is 6148455522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5501337580 + ... + 5501337620.

Almost surely, 2^225554841600 is an apocalyptic number.

225554841600 is a gapful number since it is divisible by the number (20) 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 225554841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431233904472).

225554841600 is an abundant number, since it is smaller than the sum of its proper divisors (636912967344).

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

225554841600 is a wasteful number, since it uses less digits than its factorization.

225554841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 225554841600 in words is "two hundred twenty-five billion, five hundred fifty-four million, eight hundred forty-one thousand, six hundred".