242045532401 has 8 divisors (see below), whose sum is σ = 250450931880. Its totient is φ = 233644066432.

The previous prime is 242045532383. The next prime is 242045532403. The reversal of 242045532401 is 104235540242.

242045532401 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 4 ways, for example, as 30814291600 + 211231240801 = 175540^2 + 459599^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-242045532401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242045532403) 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, 857900 + ... + 1104573.

It is an arithmetic number, because the mean of its divisors is an integer number (31306366485).

Almost surely, 2^242045532401 is an apocalyptic number.

It is an amenable number.

242045532401 is a deficient number, since it is larger than the sum of its proper divisors (8405399479).

242045532401 is a wasteful number, since it uses less digits than its factorization.

242045532401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966755.

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 242045532401 in words is "two hundred forty-two billion, forty-five million, five hundred thirty-two thousand, four hundred one".