224735166547641 has 12 divisors (see below), whose sum is σ = 343712607661332. Its totient is φ = 141010300578816.

The previous prime is 224735166547627. The next prime is 224735166547651. The reversal of 224735166547641 is 146745661537422.

224735166547641 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 3 + 516 + 6 + 5 + 4 + 76 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166782269765241 + 57952896782400 = 12914421^2 + 7612680^2 .

It is not a de Polignac number, because 224735166547641 - 2¹⁷ = 224735166416569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224735166547601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734428648696 + ... + 734428649001.

It is an arithmetic number, because the mean of its divisors is an integer number (28642717305111).

Almost surely, 2^{224735166547641} is an apocalyptic number.

It is an amenable number.

224735166547641 is a deficient number, since it is larger than the sum of its proper divisors (118977441113691).

224735166547641 is a wasteful number, since it uses less digits than its factorization.

224735166547641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468857297720 (or 1468857297717 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 224735166547641 in words is "two hundred twenty-four trillion, seven hundred thirty-five billion, one hundred sixty-six million, five hundred forty-seven thousand, six hundred forty-one".