242681136831 has 16 divisors (see below), whose sum is σ = 410888697600. Its totient is φ = 138674935224.

The previous prime is 242681136823. The next prime is 242681136853. The reversal of 242681136831 is 138631186242.

242681136831 is a `hidden beast` number, since 24 + 268 + 1 + 1 + 368 + 3 + 1 = 666.

242681136831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242681136831 - 2³ = 242681136823 is a prime.

It is a super-2 number, since 2×242681136831² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242681134831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642013401 + ... + 642013778.

It is an arithmetic number, because the mean of its divisors is an integer number (25680543600).

Almost surely, 2^242681136831 is an apocalyptic number.

242681136831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242681136831 is a deficient number, since it is larger than the sum of its proper divisors (168207560769).

242681136831 is a wasteful number, since it uses less digits than its factorization.

242681136831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284027195 (or 1284027189 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

It can be divided in two parts, 2426811 and 36831, that added together give a palindrome (2463642).

The spelling of 242681136831 in words is "two hundred forty-two billion, six hundred eighty-one million, one hundred thirty-six thousand, eight hundred thirty-one".