114782136768 has 84 divisors (see below), whose sum is σ = 354310160568. Its totient is φ = 35317578240.

The previous prime is 114782136761. The next prime is 114782136779. The reversal of 114782136768 is 867631287411.

114782136768 is a `hidden beast` number, since 1 + 147 + 82 + 1 + 367 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114782136761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7656918 + ... + 7671893.

It is an arithmetic number, because the mean of its divisors is an integer number (4217978102).

Almost surely, 2^114782136768 is an apocalyptic number.

114782136768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114782136768 is an abundant number, since it is smaller than the sum of its proper divisors (239528023800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114782136768 is a wasteful number, since it uses less digits than its factorization.

114782136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328842 (or 15328829 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 114782136768 in words is "one hundred fourteen billion, seven hundred eighty-two million, one hundred thirty-six thousand, seven hundred sixty-eight".