229018868896896 has 1536 divisors, whose sum is σ = 810551169792000. Its totient is φ = 61363882229760.

The previous prime is 229018868896777. The next prime is 229018868896913. The reversal of 229018868896896 is 698698868810922.

It is a happy number.

229018868896896 is a `hidden beast` number, since 2 + 290 + 1 + 8 + 86 + 88 + 96 + 89 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17977768095 + ... + 17977780833.

It is an arithmetic number, because the mean of its divisors is an integer number (527702584500).

Almost surely, 2^{229018868896896} is an apocalyptic number.

229018868896896 is a gapful number since it is divisible by the number (26) 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 229018868896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405275584896000).

229018868896896 is an abundant number, since it is smaller than the sum of its proper divisors (581532300895104).

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

229018868896896 is a wasteful number, since it uses less digits than its factorization.

229018868896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12922 (or 12907 counting only the distinct ones).

The product of its (nonzero) digits is 20639121408, while the sum is 90.

The spelling of 229018868896896 in words is "two hundred twenty-nine trillion, eighteen billion, eight hundred sixty-eight million, eight hundred ninety-six thousand, eight hundred ninety-six".