229506716160 has 480 divisors, whose sum is σ = 810436378752. Its totient is φ = 60011642880.

The previous prime is 229506716143. The next prime is 229506716183. The reversal of 229506716160 is 61617605922.

229506716160 is a `hidden beast` number, since 2 + 29 + 5 + 0 + 6 + 7 + 1 + 616 + 0 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502202652 + ... + 502203108.

Almost surely, 2^229506716160 is an apocalyptic number.

229506716160 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 229506716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405218189376).

229506716160 is an abundant number, since it is smaller than the sum of its proper divisors (580929662592).

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

229506716160 is a wasteful number, since it uses less digits than its factorization.

229506716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 229506716160 in words is "two hundred twenty-nine billion, five hundred six million, seven hundred sixteen thousand, one hundred sixty".