242766516061511 has 72 divisors (see below), whose sum is σ = 280627567007760. Its totient is φ = 209314171422720.

The previous prime is 242766516061453. The next prime is 242766516061519. The reversal of 242766516061511 is 115160615667242.

It is not a de Polignac number, because 242766516061511 - 2¹⁴ = 242766516045127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242766516061519) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22874442641 + ... + 22874453253.

It is an arithmetic number, because the mean of its divisors is an integer number (3897605097330).

Almost surely, 2^{242766516061511} is an apocalyptic number.

242766516061511 is a deficient number, since it is larger than the sum of its proper divisors (37861050946249).

242766516061511 is a wasteful number, since it uses less digits than its factorization.

242766516061511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 242766516061511 in words is "two hundred forty-two trillion, seven hundred sixty-six billion, five hundred sixteen million, sixty-one thousand, five hundred eleven".