242663404366242 has 32 divisors (see below), whose sum is σ = 539252518556160. Its totient is φ = 80887725127440.

The previous prime is 242663404366231. The next prime is 242663404366247.

242663404366242 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 6 + 3 + 4 + 0 + 4 + 3 + 6 + 624 + 2 = 666.

242663404366242 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×242663404366242³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242663404366247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111269263 + ... + 113429165.

It is an arithmetic number, because the mean of its divisors is an integer number (16851641204880).

Almost surely, 2^{242663404366242} is an apocalyptic number.

242663404366242 is an abundant number, since it is smaller than the sum of its proper divisors (296589114189918).

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

242663404366242 is a wasteful number, since it uses less digits than its factorization.

242663404366242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240455 (or 4240449 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

The spelling of 242663404366242 in words is "two hundred forty-two trillion, six hundred sixty-three billion, four hundred four million, three hundred sixty-six thousand, two hundred forty-two".