228874512384000 has 3600 divisors, whose sum is σ = 1020845628666864. Its totient is φ = 50833391616000.

The previous prime is 228874512383999. The next prime is 228874512384019. The reversal of 228874512384000 is 483215478822.

It is a happy number.

228874512384000 is a `hidden beast` number, since 2 + 2 + 8 + 87 + 4 + 512 + 3 + 8 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 105214418878464 + 123660093505536 = 10257408^2 + 11120256^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

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 239 ways as a sum of consecutive naturals, for example, 300754943620 + ... + 300754944380.

Almost surely, 2^{228874512384000} is an apocalyptic number.

228874512384000 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 228874512384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510422814333432).

228874512384000 is an abundant number, since it is smaller than the sum of its proper divisors (791971116282864).

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

228874512384000 is an frugal number, since it uses more digits than its factorization.

228874512384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 228874512384000 in words is "two hundred twenty-eight trillion, eight hundred seventy-four billion, five hundred twelve million, three hundred eighty-four thousand".