242283094665984 has 360 divisors, whose sum is σ = 725743169943792. Its totient is φ = 80724763607040.

The previous prime is 242283094665947. The next prime is 242283094665991. The reversal of 242283094665984 is 489566490382242.

242283094665984 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 8 + 30 + 9 + 466 + 59 + 84 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12702926272 + ... + 12702945344.

Almost surely, 2^{242283094665984} is an apocalyptic number.

242283094665984 is a gapful number since it is divisible by the number (24) 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 242283094665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362871584971896).

242283094665984 is an abundant number, since it is smaller than the sum of its proper divisors (483460075277808).

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

242283094665984 is an frugal number, since it uses more digits than its factorization.

242283094665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21637 (or 21599 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 242283094665984 in words is "two hundred forty-two trillion, two hundred eighty-three billion, ninety-four million, six hundred sixty-five thousand, nine hundred eighty-four".