229648668320 has 24 divisors (see below), whose sum is σ = 542544979284. Its totient is φ = 91859467264.

The previous prime is 229648668259. The next prime is 229648668331. The reversal of 229648668320 is 23866846922.

It can be written as a sum of positive squares in 2 ways, for example, as 220257507856 + 9391160464 = 469316^2 + 96908^2 .

It is a super-3 number, since 3×229648668320³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 717651929 + ... + 717652248.

Almost surely, 2^229648668320 is an apocalyptic number.

229648668320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229648668320 is an abundant number, since it is smaller than the sum of its proper divisors (312896310964).

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

229648668320 is a wasteful number, since it uses less digits than its factorization.

229648668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435304192 (or 1435304184 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 56.

The spelling of 229648668320 in words is "two hundred twenty-nine billion, six hundred forty-eight million, six hundred sixty-eight thousand, three hundred twenty".