242244636566346 has 192 divisors, whose sum is σ = 546939701118720. Its totient is φ = 77394861573120.

The previous prime is 242244636566341. The next prime is 242244636566353. The reversal of 242244636566346 is 643665636442242.

242244636566346 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 4 + 4 + 6 + 36 + 566 + 34 + 6 = 666.

242244636566346 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242244636566346² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242244636566341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101230519726 + ... + 101230522118.

It is an arithmetic number, because the mean of its divisors is an integer number (2848644276660).

Almost surely, 2^{242244636566346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242244636566346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273469850559360).

242244636566346 is an abundant number, since it is smaller than the sum of its proper divisors (304695064552374).

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

242244636566346 is a wasteful number, since it uses less digits than its factorization.

242244636566346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4618 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 63.

The spelling of 242244636566346 in words is "two hundred forty-two trillion, two hundred forty-four billion, six hundred thirty-six million, five hundred sixty-six thousand, three hundred forty-six".