228305576703600 has 720 divisors, whose sum is σ = 909906838663680. Its totient is φ = 52427633356800.

The previous prime is 228305576703521. The next prime is 228305576703671. The reversal of 228305576703600 is 6307675503822.

It is a happy number.

228305576703600 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 0 + 5 + 576 + 7 + 0 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 10388375812 + ... + 10388397788.

It is an arithmetic number, because the mean of its divisors is an integer number (1263759498144).

Almost surely, 2^{228305576703600} is an apocalyptic number.

228305576703600 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 228305576703600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454953419331840).

228305576703600 is an abundant number, since it is smaller than the sum of its proper divisors (681601261960080).

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

228305576703600 is a wasteful number, since it uses less digits than its factorization.

228305576703600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35838 (or 35824 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 228305576703600 in words is "two hundred twenty-eight trillion, three hundred five billion, five hundred seventy-six million, seven hundred three thousand, six hundred".