224684064960 has 112 divisors (see below), whose sum is σ = 717357772800. Its totient is φ = 59580980224.

The previous prime is 224684064937. The next prime is 224684064971. The reversal of 224684064960 is 69460486422.

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 15 ways as a sum of consecutive naturals, for example, 481920 + ... + 825599.

Almost surely, 2^224684064960 is an apocalyptic number.

224684064960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224684064960 is an abundant number, since it is smaller than the sum of its proper divisors (492673707840).

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

224684064960 is a wasteful number, since it uses less digits than its factorization.

224684064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307718 (or 1307708 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 224684064960 in words is "two hundred twenty-four billion, six hundred eighty-four million, sixty-four thousand, nine hundred sixty".