224078359168 has 32 divisors (see below), whose sum is σ = 448322071860. Its totient is φ = 111558309888.

The previous prime is 224078359151. The next prime is 224078359187. The reversal of 224078359168 is 861953870422.

224078359168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215659929664 + 8418429504 = 464392^2 + 91752^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×224078359168² (a number of 24 digits) contains 22 as substring.

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, 3726855 + ... + 3786502.

It is a 1-persistent number, because it is pandigital, but 2⋅224078359168 = 448156718336 is not.

Almost surely, 2^224078359168 is an apocalyptic number.

It is an amenable number.

224078359168 is an abundant number, since it is smaller than the sum of its proper divisors (224243712692).

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

224078359168 is an equidigital number, since it uses as much as digits as its factorization.

224078359168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513604 (or 7513592 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 224078359168 in words is "two hundred twenty-four billion, seventy-eight million, three hundred fifty-nine thousand, one hundred sixty-eight".