242720461342385 has 16 divisors (see below), whose sum is σ = 313670069603856. Its totient is φ = 179239410824448.

The previous prime is 242720461342367. The next prime is 242720461342391. The reversal of 242720461342385 is 583243164027242.

It can be written as a sum of positive squares in 8 ways, for example, as 94475445143104 + 148245016199281 = 9719848^2 + 12175591^2 .

It is not a de Polignac number, because 242720461342385 - 2¹⁴ = 242720461326001 is a prime.

It is a super-3 number, since 3×242720461342385³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38033567 + ... + 43954443.

It is an arithmetic number, because the mean of its divisors is an integer number (19604379350241).

Almost surely, 2^{242720461342385} is an apocalyptic number.

It is an amenable number.

242720461342385 is a deficient number, since it is larger than the sum of its proper divisors (70949608261471).

242720461342385 is a wasteful number, since it uses less digits than its factorization.

242720461342385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551572.

The product of its (nonzero) digits is 15482880, while the sum is 53.

The spelling of 242720461342385 in words is "two hundred forty-two trillion, seven hundred twenty billion, four hundred sixty-one million, three hundred forty-two thousand, three hundred eighty-five".