242120544345 has 24 divisors (see below), whose sum is σ = 421016451336. Its totient is φ = 128718390528.

The previous prime is 242120544313. The next prime is 242120544349. The reversal of 242120544345 is 543445021242.

242120544345 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 205 + 443 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6460783641 + 235659760704 = 80379^2 + 485448^2 .

It is not a de Polignac number, because 242120544345 - 2⁵ = 242120544313 is a prime.

It is a super-2 number, since 2×242120544345² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242120544349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8580894 + ... + 8609063.

It is an arithmetic number, because the mean of its divisors is an integer number (17542352139).

Almost surely, 2^242120544345 is an apocalyptic number.

It is an amenable number.

242120544345 is a deficient number, since it is larger than the sum of its proper divisors (178895906991).

242120544345 is a wasteful number, since it uses less digits than its factorization.

242120544345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17190281 (or 17190278 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 242120544345 its reverse (543445021242), we get a palindrome (785565565587).

The spelling of 242120544345 in words is "two hundred forty-two billion, one hundred twenty million, five hundred forty-four thousand, three hundred forty-five".