224010695168 has 90 divisors (see below), whose sum is σ = 484963229619. Its totient is φ = 103325294592.

The previous prime is 224010695147. The next prime is 224010695177. The reversal of 224010695168 is 861596010422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 164732080384 + 59278614784 = 405872^2 + 243472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334672.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 139222748 + ... + 139224356.

Almost surely, 2^224010695168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224010695168

224010695168 is an abundant number, since it is smaller than the sum of its proper divisors (260952534451).

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

224010695168 is an frugal number, since it uses more digits than its factorization.

224010695168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 224010695168 in words is "two hundred twenty-four billion, ten million, six hundred ninety-five thousand, one hundred sixty-eight".