242663121936 has 60 divisors (see below), whose sum is σ = 679153752732. Its totient is φ = 80883652608.

The previous prime is 242663121929. The next prime is 242663121973. The reversal of 242663121936 is 639121366242.

242663121936 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 631 + 2 + 1 + 9 + 3 + 6 = 666.

242663121936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103519201536 + 139143920400 = 321744^2 + 373020^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242663121891 and 242663121900.

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 11 ways as a sum of consecutive naturals, for example, 4624680 + ... + 4676856.

Almost surely, 2^242663121936 is an apocalyptic number.

It is an amenable number.

242663121936 is an abundant number, since it is smaller than the sum of its proper divisors (436490630796).

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

242663121936 is a wasteful number, since it uses less digits than its factorization.

242663121936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84488 (or 84479 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 242663121936 in words is "two hundred forty-two billion, six hundred sixty-three million, one hundred twenty-one thousand, nine hundred thirty-six".