229283859168 has 864 divisors, whose sum is σ = 868505470560. Its totient is φ = 58943324160.

The previous prime is 229283859163. The next prime is 229283859187. The reversal of 229283859168 is 861958382922.

229283859168 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 8 + 38 + 591 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229283859163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203085228 + ... + 203086356.

It is an arithmetic number, because the mean of its divisors is an integer number (1005214665).

Almost surely, 2^229283859168 is an apocalyptic number.

229283859168 is a gapful number since it is divisible by the number (28) 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 229283859168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434252735280).

229283859168 is an abundant number, since it is smaller than the sum of its proper divisors (639221611392).

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

229283859168 is a wasteful number, since it uses less digits than its factorization.

229283859168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1195 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 229283859168 in words is "two hundred twenty-nine billion, two hundred eighty-three million, eight hundred fifty-nine thousand, one hundred sixty-eight".