224005340448 has 90 divisors (see below), whose sum is σ = 640852627779. Its totient is φ = 74221330368.

The previous prime is 224005340417. The next prime is 224005340453. The reversal of 224005340448 is 844043500422.

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.

224005340448 is a `hidden beast` number, since 2 + 240 + 0 + 5 + 3 + 404 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112002670224 + 112002670224 = 334668^2 + 334668^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334668.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1341349261 + ... + 1341349427.

Almost surely, 2^224005340448 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 224005340448

224005340448 is an abundant number, since it is smaller than the sum of its proper divisors (416847287331).

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

224005340448 is an frugal number, since it uses more digits than its factorization.

224005340448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

It can be divided in two parts, 224005 and 340448, that added together give a triangular number (564453 = T₁₀₆₂).

The spelling of 224005340448 in words is "two hundred twenty-four billion, five million, three hundred forty thousand, four hundred forty-eight".