242685865968 has 640 divisors, whose sum is σ = 808513585152. Its totient is φ = 61049438208.

The previous prime is 242685865943. The next prime is 242685865969. The reversal of 242685865968 is 869568586242.

It is a super-3 number, since 3×242685865968³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242685865969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2356173405 + ... + 2356173507.

Almost surely, 2^242685865968 is an apocalyptic number.

242685865968 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 242685865968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404256792576).

242685865968 is an abundant number, since it is smaller than the sum of its proper divisors (565827719184).

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

242685865968 is a wasteful number, since it uses less digits than its factorization.

242685865968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 69.

The spelling of 242685865968 in words is "two hundred forty-two billion, six hundred eighty-five million, eight hundred sixty-five thousand, nine hundred sixty-eight".