242116077541 has 8 divisors (see below), whose sum is σ = 261410680440. Its totient is φ = 222917230272.

The previous prime is 242116077509. The next prime is 242116077571. The reversal of 242116077541 is 145770611242.

It can be written as a sum of positive squares in 4 ways, for example, as 22018108225 + 220097969316 = 148385^2 + 469146^2 .

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 242116077541 - 2⁵ = 242116077509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242116077494 and 242116077503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242116077571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23933650 + ... + 23943763.

It is an arithmetic number, because the mean of its divisors is an integer number (32676335055).

Almost surely, 2^242116077541 is an apocalyptic number.

It is an amenable number.

242116077541 is a deficient number, since it is larger than the sum of its proper divisors (19294602899).

242116077541 is a wasteful number, since it uses less digits than its factorization.

242116077541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47877815.

The product of its (nonzero) digits is 94080, while the sum is 40.

Adding to 242116077541 its reverse (145770611242), we get a palindrome (387886688783).

The spelling of 242116077541 in words is "two hundred forty-two billion, one hundred sixteen million, seventy-seven thousand, five hundred forty-one".