224008581888001 has 8 divisors (see below), whose sum is σ = 230256686689920. Its totient is φ = 217770678075888.

The previous prime is 224008581887903. The next prime is 224008581888011. The reversal of 224008581888001 is 100888185800422.

224008581888001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 224008581888001 - 2¹⁹ = 224008581363713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224008581888011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2550202921 + ... + 2550290758.

It is an arithmetic number, because the mean of its divisors is an integer number (28782085836240).

Almost surely, 2^{224008581888001} is an apocalyptic number.

It is an amenable number.

224008581888001 is a deficient number, since it is larger than the sum of its proper divisors (6248104801919).

224008581888001 is a wasteful number, since it uses less digits than its factorization.

224008581888001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100494903.

The product of its (nonzero) digits is 2621440, while the sum is 55.

The spelling of 224008581888001 in words is "two hundred twenty-four trillion, eight billion, five hundred eighty-one million, eight hundred eighty-eight thousand, one".