228559736401920 has 2496 divisors, whose sum is σ = 1031053551510528. Its totient is φ = 45454196736000.

The previous prime is 228559736401897. The next prime is 228559736401993. The reversal of 228559736401920 is 29104637955822.

228559736401920 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 597 + 3 + 6 + 4 + 0 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30840603015 + ... + 30840610425.

It is an arithmetic number, because the mean of its divisors is an integer number (413082352368).

It is a 1-persistent number, because it is pandigital, but 2⋅228559736401920 = 457119472803840 is not.

Almost surely, 2^{228559736401920} is an apocalyptic number.

228559736401920 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 228559736401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515526775755264).

228559736401920 is an abundant number, since it is smaller than the sum of its proper divisors (802493815108608).

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

228559736401920 is a wasteful number, since it uses less digits than its factorization.

228559736401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 228559736401920 in words is "two hundred twenty-eight trillion, five hundred fifty-nine billion, seven hundred thirty-six million, four hundred one thousand, nine hundred twenty".