224456500006128 has 120 divisors (see below), whose sum is σ = 705899427690912. Its totient is φ = 66060775908864.

The previous prime is 224456500006127. The next prime is 224456500006163. The reversal of 224456500006128 is 821600005654422.

224456500006128 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 565 + 0 + 0 + 0 + 0 + 61 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224456500006127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2606521651 + ... + 2606607762.

Almost surely, 2^{224456500006128} is an apocalyptic number.

It is an amenable number.

224456500006128 is an abundant number, since it is smaller than the sum of its proper divisors (481442927684784).

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

224456500006128 is a wasteful number, since it uses less digits than its factorization.

224456500006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213129463 (or 5213129454 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 224456500006128 in words is "two hundred twenty-four trillion, four hundred fifty-six billion, five hundred million, six thousand, one hundred twenty-eight".