229617305856 has 243 divisors, whose sum is σ = 676612847001. Its totient is φ = 74890708992.

The previous prime is 229617305839. The next prime is 229617305861. The reversal of 229617305856 is 658503716922.

The square root of 229617305856 is 479184.

It is a perfect power (a square), and thus also a powerful number.

229617305856 is a `hidden beast` number, since 2 + 29 + 6 + 1 + 7 + 30 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26901248256 + 202716057600 = 164016^2 + 450240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1541055670 + ... + 1541055818.

Almost surely, 2^229617305856 is an apocalyptic number.

229617305856 is the 479184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229617305856

229617305856 is an abundant number, since it is smaller than the sum of its proper divisors (446995541145).

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

229617305856 is an frugal number, since it uses more digits than its factorization.

229617305856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 229617305856 in words is "two hundred twenty-nine billion, six hundred seventeen million, three hundred five thousand, eight hundred fifty-six".