224166009888 has 162 divisors, whose sum is σ = 666943148781. Its totient is φ = 71414297856.

The previous prime is 224166009877. The next prime is 224166009889. The reversal of 224166009888 is 888900661422.

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.

224166009888 is a `hidden beast` number, since 2 + 2 + 416 + 60 + 0 + 98 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156426578064 + 67739431824 = 395508^2 + 260268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334788.

It is not an unprimeable number, because it can be changed into a prime (224166009889) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184802370 + ... + 184803582.

Almost surely, 2^224166009888 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 224166009888

224166009888 is an abundant number, since it is smaller than the sum of its proper divisors (442777138893).

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

224166009888 is an equidigital number, since it uses as much as digits as its factorization.

224166009888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 224166009888 in words is "two hundred twenty-four billion, one hundred sixty-six million, nine thousand, eight hundred eighty-eight".