228368714595840 has 2160 divisors, whose sum is σ = 1045720633845888. Its totient is φ = 45646267613184.

The previous prime is 228368714595829. The next prime is 228368714595841. The reversal of 228368714595840 is 48595417863822.

228368714595840 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 6 + 87 + 1 + 459 + 58 + 40 = 666.

228368714595840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228368714595841) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5298187729 + ... + 5298230831.

It is a 2-persistent number, because it is pandigital, and so is 2⋅228368714595840 = 456737429191680, but 3⋅228368714595840 = 685106143787520 is not.

Almost surely, 2^{228368714595840} is an apocalyptic number.

228368714595840 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 228368714595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522860316922944).

228368714595840 is an abundant number, since it is smaller than the sum of its proper divisors (817351919250048).

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

228368714595840 is a wasteful number, since it uses less digits than its factorization.

228368714595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43197 (or 43152 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 228368714595840 in words is "two hundred twenty-eight trillion, three hundred sixty-eight billion, seven hundred fourteen million, five hundred ninety-five thousand, eight hundred forty".