229508098560 has 480 divisors, whose sum is σ = 863696001168. Its totient is φ = 55986094080.

The previous prime is 229508098553. The next prime is 229508098657. The reversal of 229508098560 is 65890805922.

229508098560 is a `hidden beast` number, since 2 + 29 + 50 + 8 + 0 + 9 + 8 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5832071424 + 223676027136 = 76368^2 + 472944^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 229508098497 and 229508098506.

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, 33842370 + ... + 33849150.

Almost surely, 2^229508098560 is an apocalyptic number.

229508098560 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 229508098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431848000584).

229508098560 is an abundant number, since it is smaller than the sum of its proper divisors (634187902608).

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

229508098560 is a wasteful number, since it uses less digits than its factorization.

229508098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 229508098560 in words is "two hundred twenty-nine billion, five hundred eight million, ninety-eight thousand, five hundred sixty".