224008009968 has 20 divisors (see below), whose sum is σ = 578687359208. Its totient is φ = 74669336640.

The previous prime is 224008009961. The next prime is 224008009991. The reversal of 224008009968 is 869900800422.

It is a super-2 number, since 2×224008009968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 4666833541 = 224008009968 / (2 + 2 + 4 + 0 + 0 + 8 + 0 + 0 + 9 + 9 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224008009961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2333416723 + ... + 2333416818.

Almost surely, 2^224008009968 is an apocalyptic number.

It is an amenable number.

224008009968 is an abundant number, since it is smaller than the sum of its proper divisors (354679349240).

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

224008009968 is a wasteful number, since it uses less digits than its factorization.

224008009968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666833552 (or 4666833546 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 224008009968 in words is "two hundred twenty-four billion, eight million, nine thousand, nine hundred sixty-eight".