242656912512 has 960 divisors, whose sum is σ = 923546923200. Its totient is φ = 62768369664.

The previous prime is 242656912501. The next prime is 242656912517. The reversal of 242656912512 is 215219656242.

242656912512 is a `hidden beast` number, since 2 + 4 + 2 + 65 + 69 + 12 + 512 = 666.

242656912512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242656912517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 222009438 + ... + 222010530.

It is an arithmetic number, because the mean of its divisors is an integer number (962028045).

Almost surely, 2^242656912512 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 242656912512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461773461600).

242656912512 is an abundant number, since it is smaller than the sum of its proper divisors (680890010688).

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

242656912512 is a wasteful number, since it uses less digits than its factorization.

242656912512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1147 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 242656912512 in words is "two hundred forty-two billion, six hundred fifty-six million, nine hundred twelve thousand, five hundred twelve".