242127768961 has 8 divisors (see below), whose sum is σ = 260764985600. Its totient is φ = 223492267152.

The previous prime is 242127768941. The next prime is 242127769003. The reversal of 242127768961 is 169867721242.

242127768961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242127768961 - 2²³ = 242119380353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242127768901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 127611 + ... + 707488.

It is an arithmetic number, because the mean of its divisors is an integer number (32595623200).

Almost surely, 2^242127768961 is an apocalyptic number.

It is an amenable number.

242127768961 is a deficient number, since it is larger than the sum of its proper divisors (18637216639).

242127768961 is a wasteful number, since it uses less digits than its factorization.

242127768961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857415.

The product of its digits is 4064256, while the sum is 55.

The spelling of 242127768961 in words is "two hundred forty-two billion, one hundred twenty-seven million, seven hundred sixty-eight thousand, nine hundred sixty-one".