242118827568 has 140 divisors (see below), whose sum is σ = 705940649248. Its totient is φ = 80407416960.

The previous prime is 242118827563. The next prime is 242118827603. The reversal of 242118827568 is 865728811242.

242118827568 is a `hidden beast` number, since 2 + 42 + 1 + 18 + 8 + 27 + 568 = 666.

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 (242118827563) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3122646 + ... + 3199242.

Almost surely, 2^242118827568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242118827568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352970324624).

242118827568 is an abundant number, since it is smaller than the sum of its proper divisors (463821821680).

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

242118827568 is an equidigital number, since it uses as much as digits as its factorization.

242118827568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76894 (or 76873 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 242118827568 in words is "two hundred forty-two billion, one hundred eighteen million, eight hundred twenty-seven thousand, five hundred sixty-eight".