114405318513 has 16 divisors (see below), whose sum is σ = 171393739200. Its totient is φ = 75413242080.

The previous prime is 114405318497. The next prime is 114405318581. The reversal of 114405318513 is 315813504411.

114405318513 is a `hidden beast` number, since 1 + 1 + 4 + 40 + 531 + 85 + 1 + 3 = 666.

It is not a de Polignac number, because 114405318513 - 2⁴ = 114405318497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114405318593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23802283 + ... + 23807088.

It is an arithmetic number, because the mean of its divisors is an integer number (10712108700).

Almost surely, 2^114405318513 is an apocalyptic number.

It is an amenable number.

114405318513 is a deficient number, since it is larger than the sum of its proper divisors (56988420687).

114405318513 is an equidigital number, since it uses as much as digits as its factorization.

114405318513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47609469 (or 47609463 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 114405318513 in words is "one hundred fourteen billion, four hundred five million, three hundred eighteen thousand, five hundred thirteen".