242422115507352 has 576 divisors, whose sum is σ = 741880917872640. Its totient is φ = 71430363164160.

The previous prime is 242422115507339. The next prime is 242422115507389. The reversal of 242422115507352 is 253705511224242.

242422115507352 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 2 + 21 + 1 + 550 + 73 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242422115507298 and 242422115507307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76643095323 + ... + 76643098485.

It is an arithmetic number, because the mean of its divisors is an integer number (1287987704640).

Almost surely, 2^{242422115507352} is an apocalyptic number.

242422115507352 is a gapful number since it is divisible by the number (22) 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 242422115507352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370940458936320).

242422115507352 is an abundant number, since it is smaller than the sum of its proper divisors (499458802365288).

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

242422115507352 is a wasteful number, since it uses less digits than its factorization.

242422115507352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 242422115507352 in words is "two hundred forty-two trillion, four hundred twenty-two billion, one hundred fifteen million, five hundred seven thousand, three hundred fifty-two".