242738913105 has 80 divisors (see below), whose sum is σ = 481269018384. Its totient is φ = 116272350720.

The previous prime is 242738913071. The next prime is 242738913107. The reversal of 242738913105 is 501319837242.

It is a happy number.

242738913105 is a `hidden beast` number, since 2 + 427 + 38 + 91 + 3 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3277448001 + 239461465104 = 57249^2 + 489348^2 .

It is not a de Polignac number, because 242738913105 - 2¹² = 242738909009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (242738913107) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 428226 + ... + 817835.

Almost surely, 2^242738913105 is an apocalyptic number.

It is an amenable number.

242738913105 is a deficient number, since it is larger than the sum of its proper divisors (238530105279).

242738913105 is a wasteful number, since it uses less digits than its factorization.

242738913105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246128 (or 1246119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 242738913105 in words is "two hundred forty-two billion, seven hundred thirty-eight million, nine hundred thirteen thousand, one hundred five".