242363228416 has 81 divisors (see below), whose sum is σ = 501509704423. Its totient is φ = 116892661760.

The previous prime is 242363228399. The next prime is 242363228417. The reversal of 242363228416 is 614822363242.

It is a happy number.

The square root of 242363228416 is 492304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8262082816 + 234101145600 = 90896^2 + 483840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242363228417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 228428526 + ... + 228429586.

Almost surely, 2^242363228416 is an apocalyptic number.

242363228416 is the 492304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242363228416

242363228416 is an abundant number, since it is smaller than the sum of its proper divisors (259146476007).

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

242363228416 is an frugal number, since it uses more digits than its factorization.

242363228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1092 counting only the distinct ones).

The product of its digits is 663552, while the sum is 43.

The spelling of 242363228416 in words is "two hundred forty-two billion, three hundred sixty-three million, two hundred twenty-eight thousand, four hundred sixteen".