242242045351344 has 120 divisors (see below), whose sum is σ = 680139883698912. Its totient is φ = 80485494312960.

The previous prime is 242242045351337. The next prime is 242242045351367. The reversal of 242242045351344 is 443153540242242.

242242045351344 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 4 + 204 + 53 + 51 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242242045351344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810287254 + ... + 2810373450.

Almost surely, 2^{242242045351344} is an apocalyptic number.

242242045351344 is a gapful number since it is divisible by the number (24) 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 242242045351344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340069941849456).

242242045351344 is an abundant number, since it is smaller than the sum of its proper divisors (437897838347568).

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

242242045351344 is a wasteful number, since it uses less digits than its factorization.

242242045351344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149275 (or 149266 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 242242045351344 its reverse (443153540242242), we get a palindrome (685395585593586).

The spelling of 242242045351344 in words is "two hundred forty-two trillion, two hundred forty-two billion, forty-five million, three hundred fifty-one thousand, three hundred forty-four".