228299640117120 has 6144 divisors, whose sum is σ = 1068858685440000. Its totient is φ = 45961818439680.

The previous prime is 228299640117089. The next prime is 228299640117149. The reversal of 228299640117120 is 21711046992822.

228299640117120 is a `hidden beast` number, since 2 + 2 + 8 + 29 + 96 + 401 + 1 + 7 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1642443454011 + ... + 1642443454149.

It is an arithmetic number, because the mean of its divisors is an integer number (173967885000).

Almost surely, 2^{228299640117120} is an apocalyptic number.

228299640117120 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 228299640117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534429342720000).

228299640117120 is an abundant number, since it is smaller than the sum of its proper divisors (840559045322880).

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

228299640117120 is a wasteful number, since it uses less digits than its factorization.

228299640117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 228299640117120 in words is "two hundred twenty-eight trillion, two hundred ninety-nine billion, six hundred forty million, one hundred seventeen thousand, one hundred twenty".