228859810819200 has 960 divisors, whose sum is σ = 928935281435040. Its totient is φ = 55481082624000.

The previous prime is 228859810819121. The next prime is 228859810819271. The reversal of 228859810819200 is 2918018958822.

228859810819200 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 598 + 1 + 0 + 8 + 19 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 344663515 + ... + 345326885.

Almost surely, 2^{228859810819200} is an apocalyptic number.

228859810819200 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 228859810819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464467640717520).

228859810819200 is an abundant number, since it is smaller than the sum of its proper divisors (700075470615840).

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

228859810819200 is an equidigital number, since it uses as much as digits as its factorization.

228859810819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663440 (or 663392 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 228859810819200 in words is "two hundred twenty-eight trillion, eight hundred fifty-nine billion, eight hundred ten million, eight hundred nineteen thousand, two hundred".