242766463010013 has 24 divisors (see below), whose sum is σ = 365911256101248. Its totient is φ = 154806590850912.

The previous prime is 242766463009979. The next prime is 242766463010033. The reversal of 242766463010013 is 310010364667242.

242766463010013 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 6 + 6 + 4 + 630 + 1 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 242766463010013 - 2²¹ = 242766460912861 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242766463010033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28689456 + ... + 36174822.

It is an arithmetic number, because the mean of its divisors is an integer number (15246302337552).

Almost surely, 2^{242766463010013} is an apocalyptic number.

242766463010013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

242766463010013 is a deficient number, since it is larger than the sum of its proper divisors (123144793091235).

242766463010013 is a wasteful number, since it uses less digits than its factorization.

242766463010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642073 (or 7642070 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 242766463010013 in words is "two hundred forty-two trillion, seven hundred sixty-six billion, four hundred sixty-three million, ten thousand, thirteen".