242777343665667 has 16 divisors (see below), whose sum is σ = 324610932668672. Its totient is φ = 161397890802720.

The previous prime is 242777343665621. The next prime is 242777343665671. The reversal of 242777343665667 is 766566343777242.

It is not a de Polignac number, because 242777343665667 - 2¹⁵ = 242777343632899 is a prime.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242777343665567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24847633 + ... + 33210834.

It is an arithmetic number, because the mean of its divisors is an integer number (20288183291792).

Almost surely, 2^{242777343665667} is an apocalyptic number.

242777343665667 is a deficient number, since it is larger than the sum of its proper divisors (81833589003005).

242777343665667 is a wasteful number, since it uses less digits than its factorization.

242777343665667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58062378.

The product of its digits is 8961684480, while the sum is 75.

The spelling of 242777343665667 in words is "two hundred forty-two trillion, seven hundred seventy-seven billion, three hundred forty-three million, six hundred sixty-five thousand, six hundred sixty-seven".