242309752848 has 240 divisors, whose sum is σ = 694643040000. Its totient is φ = 78835986432.

The previous prime is 242309752703. The next prime is 242309752849. The reversal of 242309752848 is 848257903242.

242309752848 is a `hidden beast` number, since 2 + 4 + 23 + 0 + 97 + 528 + 4 + 8 = 666.

It is a super-2 number, since 2×242309752848² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 242309752794 and 242309752803.

It is not an unprimeable number, because it can be changed into a prime (242309752849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337009033 + ... + 337009751.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346000).

Almost surely, 2^242309752848 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 242309752848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520000).

242309752848 is an abundant number, since it is smaller than the sum of its proper divisors (452333287152).

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

242309752848 is a wasteful number, since it uses less digits than its factorization.

242309752848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 242309752848 in words is "two hundred forty-two billion, three hundred nine million, seven hundred fifty-two thousand, eight hundred forty-eight".