228343771872000 has 3024 divisors, whose sum is σ = 899750312330688. Its totient is φ = 57705932390400.

The previous prime is 228343771871987. The next prime is 228343771872067. The reversal of 228343771872000 is 278177343822.

228343771872000 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 437 + 7 + 187 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2020741343944 + ... + 2020741344056.

Almost surely, 2^{228343771872000} is an apocalyptic number.

228343771872000 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 228343771872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449875156165344).

228343771872000 is an abundant number, since it is smaller than the sum of its proper divisors (671406540458688).

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

228343771872000 is an equidigital number, since it uses as much as digits as its factorization.

228343771872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 228343771872000 in words is "two hundred twenty-eight trillion, three hundred forty-three billion, seven hundred seventy-one million, eight hundred seventy-two thousand".