242360917613568 has 1408 divisors, whose sum is σ = 830861264620800. Its totient is φ = 69128656257024.

The previous prime is 242360917613561. The next prime is 242360917613597. The reversal of 242360917613568 is 865316719063242.

242360917613568 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 6 + 0 + 9 + 1 + 7 + 61 + 3 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242360917613561) 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, 119448455178 + ... + 119448457206.

It is a 1-persistent number, because it is pandigital, but 2⋅242360917613568 = 484721835227136 is not.

Almost surely, 2^{242360917613568} 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 242360917613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415430632310400).

242360917613568 is an abundant number, since it is smaller than the sum of its proper divisors (588500347007232).

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

242360917613568 is a wasteful number, since it uses less digits than its factorization.

242360917613568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 242360917613568 in words is "two hundred forty-two trillion, three hundred sixty billion, nine hundred seventeen million, six hundred thirteen thousand, five hundred sixty-eight".