242657715609 has 9 divisors (see below), whose sum is σ = 350507723839. Its totient is φ = 161770825200.

The previous prime is 242657715581. The next prime is 242657715617. The reversal of 242657715609 is 906517756242.

It is a happy number.

The square root of 242657715609 is 492603.

It is a perfect power (a square), and thus also a powerful number.

242657715609 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 5 + 7 + 71 + 560 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94093722009 + 148563993600 = 306747^2 + 385440^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 242657715609 - 2²⁹ = 242120844697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242657715659) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1395709 + ... + 1559909.

Almost surely, 2^242657715609 is an apocalyptic number.

242657715609 is the 492603-rd square number.

242657715609 is the 246302-nd centered octagonal number.

It is an amenable number.

242657715609 is a deficient number, since it is larger than the sum of its proper divisors (107850008230).

242657715609 is an frugal number, since it uses more digits than its factorization.

242657715609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328408 (or 164204 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 242657715609 in words is "two hundred forty-two billion, six hundred fifty-seven million, seven hundred fifteen thousand, six hundred nine".