242367883113600 has 1728 divisors, whose sum is σ = 968436525012840. Its totient is φ = 57508300062720.

The previous prime is 242367883113557. The next prime is 242367883113611. The reversal of 242367883113600 is 6311388763242.

It is a happy number.

242367883113600 is a `hidden beast` number, since 2 + 4 + 23 + 6 + 7 + 8 + 8 + 3 + 1 + 1 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8858433121344 + 233509449992256 = 2976312^2 + 15281016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 108345051682 + ... + 108345053918.

Almost surely, 2^{242367883113600} is an apocalyptic number.

242367883113600 is a gapful number since it is divisible by the number (20) 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 242367883113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484218262506420).

242367883113600 is an abundant number, since it is smaller than the sum of its proper divisors (726068641899240).

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

242367883113600 is a wasteful number, since it uses less digits than its factorization.

242367883113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 242367883113600 in words is "two hundred forty-two trillion, three hundred sixty-seven billion, eight hundred eighty-three million, one hundred thirteen thousand, six hundred".