228921703971840 has 3168 divisors, whose sum is σ = 951078502483200. Its totient is φ = 50344167997440.

The previous prime is 228921703971833. The next prime is 228921703971869. The reversal of 228921703971840 is 48179307129822.

228921703971840 is a `hidden beast` number, since 2 + 2 + 89 + 21 + 70 + 397 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1278892200871 + ... + 1278892201049.

Almost surely, 2^{228921703971840} is an apocalyptic number.

228921703971840 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 228921703971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475539251241600).

228921703971840 is an abundant number, since it is smaller than the sum of its proper divisors (722156798511360).

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

228921703971840 is a wasteful number, since it uses less digits than its factorization.

228921703971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 228921703971840 in words is "two hundred twenty-eight trillion, nine hundred twenty-one billion, seven hundred three million, nine hundred seventy-one thousand, eight hundred forty".