242359166020608 has 4752 divisors, whose sum is σ = 1014836201870400. Its totient is φ = 55154229903360.

The previous prime is 242359166020603. The next prime is 242359166020651. The reversal of 242359166020608 is 806020661953242.

242359166020608 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 5 + 9 + 1 + 6 + 6 + 0 + 20 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (242359166020603) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7818037613553 + ... + 7818037613583.

Almost surely, 2^{242359166020608} is an apocalyptic number.

242359166020608 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 242359166020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507418100935200).

242359166020608 is an abundant number, since it is smaller than the sum of its proper divisors (772477035849792).

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

242359166020608 is a wasteful number, since it uses less digits than its factorization.

242359166020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 242359166020608 in words is "two hundred forty-two trillion, three hundred fifty-nine billion, one hundred sixty-six million, twenty thousand, six hundred eight".