229680124128 has 864 divisors, whose sum is σ = 859721597280. Its totient is φ = 59779399680.

The previous prime is 229680124057. The next prime is 229680124159. The reversal of 229680124128 is 821421086922.

229680124128 is a `hidden beast` number, since 229 + 6 + 8 + 0 + 1 + 2 + 412 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 440844508 + ... + 440845028.

It is an arithmetic number, because the mean of its divisors is an integer number (995048145).

Almost surely, 2^229680124128 is an apocalyptic number.

229680124128 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 229680124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429860798640).

229680124128 is an abundant number, since it is smaller than the sum of its proper divisors (630041473152).

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

229680124128 is a wasteful number, since it uses less digits than its factorization.

229680124128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 229680124128 in words is "two hundred twenty-nine billion, six hundred eighty million, one hundred twenty-four thousand, one hundred twenty-eight".