224104413128 has 108 divisors (see below), whose sum is σ = 464808773835. Its totient is φ = 101274183648.

The previous prime is 224104413023. The next prime is 224104413131. The reversal of 224104413128 is 821314401422.

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 only one way, i.e., 112052206564 + 112052206564 = 334742^2 + 334742^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334742.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 224104413094 and 224104413103.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 585128825 + ... + 585129207.

Almost surely, 2^224104413128 is an apocalyptic number.

It is an amenable number.

224104413128 is an abundant number, since it is smaller than the sum of its proper divisors (240704360707).

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

224104413128 is an equidigital number, since it uses as much as digits as its factorization.

224104413128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Multiplying 224104413128 by its sum of digits (32), we get a square (7171341220096 = 2677936²).

The spelling of 224104413128 in words is "two hundred twenty-four billion, one hundred four million, four hundred thirteen thousand, one hundred twenty-eight".