228640113000 has 384 divisors, whose sum is σ = 844700613120. Its totient is φ = 55438732800.

The previous prime is 228640112977. The next prime is 228640113019. The reversal of 228640113000 is 311046822.

228640113000 is a `hidden beast` number, since 2 + 2 + 8 + 640 + 1 + 13 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7824417 + ... + 7853583.

It is an arithmetic number, because the mean of its divisors is an integer number (2199741180).

Almost surely, 2^228640113000 is an apocalyptic number.

228640113000 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 228640113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422350306560).

228640113000 is an abundant number, since it is smaller than the sum of its proper divisors (616060500120).

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

228640113000 is a wasteful number, since it uses less digits than its factorization.

228640113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29274 (or 29257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 228640113000 its reverse (311046822), we get a palindrome (228951159822).

The spelling of 228640113000 in words is "two hundred twenty-eight billion, six hundred forty million, one hundred thirteen thousand".