242727891168 has 144 divisors (see below), whose sum is σ = 741485767680. Its totient is φ = 69322869504.

The previous prime is 242727891157. The next prime is 242727891181. The reversal of 242727891168 is 861198727242.

It is a congruent number.

It is an unprimeable number.

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, 13533855 + ... + 13551777.

It is an arithmetic number, because the mean of its divisors is an integer number (5149206720).

Almost surely, 2^242727891168 is an apocalyptic number.

242727891168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242727891168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370742883840).

242727891168 is an abundant number, since it is smaller than the sum of its proper divisors (498757876512).

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

242727891168 is a wasteful number, since it uses less digits than its factorization.

242727891168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20829 (or 20814 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The spelling of 242727891168 in words is "two hundred forty-two billion, seven hundred twenty-seven million, eight hundred ninety-one thousand, one hundred sixty-eight".