242458821083808 has 864 divisors, whose sum is σ = 820649942985600. Its totient is φ = 67689764093952.

The previous prime is 242458821083767. The next prime is 242458821083863. The reversal of 242458821083808 is 808380128854242.

242458821083808 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 588 + 2 + 10 + 8 + 38 + 0 + 8 = 666.

242458821083808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72832326688 + ... + 72832330016.

It is an arithmetic number, because the mean of its divisors is an integer number (949826322900).

Almost surely, 2^{242458821083808} is an apocalyptic number.

242458821083808 is a gapful number since it is divisible by the number (28) 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 242458821083808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410324971492800).

242458821083808 is an abundant number, since it is smaller than the sum of its proper divisors (578191121901792).

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

242458821083808 is a wasteful number, since it uses less digits than its factorization.

242458821083808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 63.

The spelling of 242458821083808 in words is "two hundred forty-two trillion, four hundred fifty-eight billion, eight hundred twenty-one million, eighty-three thousand, eight hundred eight".