242118598883616 has 3456 divisors, whose sum is σ = 937884555820800. Its totient is φ = 61274971570176.

The previous prime is 242118598883587. The next prime is 242118598883641. The reversal of 242118598883616 is 616388895811242.

242118598883616 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 18 + 598 + 8 + 8 + 3 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2496068029680 + ... + 2496068029776.

It is an arithmetic number, because the mean of its divisors is an integer number (271378633050).

Almost surely, 2^{242118598883616} is an apocalyptic number.

242118598883616 is a gapful number since it is divisible by the number (26) 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 242118598883616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468942277910400).

242118598883616 is an abundant number, since it is smaller than the sum of its proper divisors (695765956937184).

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

242118598883616 is an equidigital number, since it uses as much as digits as its factorization.

242118598883616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 254 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 72.

The spelling of 242118598883616 in words is "two hundred forty-two trillion, one hundred eighteen billion, five hundred ninety-eight million, eight hundred eighty-three thousand, six hundred sixteen".