228099116160 has 384 divisors, whose sum is σ = 837696787200. Its totient is φ = 57028313088.

The previous prime is 228099116159. The next prime is 228099116197. The reversal of 228099116160 is 61611990822.

228099116160 is a `hidden beast` number, since 2 + 28 + 0 + 9 + 9 + 1 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10604937 + ... + 10626423.

It is an arithmetic number, because the mean of its divisors is an integer number (2181502050).

Almost surely, 2^228099116160 is an apocalyptic number.

228099116160 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 228099116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418848393600).

228099116160 is an abundant number, since it is smaller than the sum of its proper divisors (609597671040).

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

228099116160 is a wasteful number, since it uses less digits than its factorization.

228099116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21628 (or 21613 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 228099116160 in words is "two hundred twenty-eight billion, ninety-nine million, one hundred sixteen thousand, one hundred sixty".