242458144992 has 504 divisors, whose sum is σ = 850429583136. Its totient is φ = 67784822784.

The previous prime is 242458144987. The next prime is 242458145009. The reversal of 242458144992 is 299441854242.

242458144992 is a `hidden beast` number, since 2 + 42 + 458 + 144 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 53722128 + ... + 53726640.

It is an arithmetic number, because the mean of its divisors is an integer number (1687360284).

Almost surely, 2^242458144992 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 242458144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425214791568).

242458144992 is an abundant number, since it is smaller than the sum of its proper divisors (607971438144).

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

242458144992 is an equidigital number, since it uses as much as digits as its factorization.

242458144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4572 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 242458144992 in words is "two hundred forty-two billion, four hundred fifty-eight million, one hundred forty-four thousand, nine hundred ninety-two".