114312531204405 has 32 divisors (see below), whose sum is σ = 203223214091520. Its totient is φ = 60966402390720.

The previous prime is 114312531204353. The next prime is 114312531204407. The reversal of 114312531204405 is 504402135213411.

114312531204405 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 12 + 5 + 31 + 204 + 405 = 666.

It is not a de Polignac number, because 114312531204405 - 2³⁰ = 114311457462581 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114312531204405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114312531204407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29304015 + ... + 32974995.

It is an arithmetic number, because the mean of its divisors is an integer number (6350725440360).

Almost surely, 2^{114312531204405} is an apocalyptic number.

114312531204405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114312531204405 is a deficient number, since it is larger than the sum of its proper divisors (88910682887115).

114312531204405 is a wasteful number, since it uses less digits than its factorization.

114312531204405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901658 (or 3901652 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114312531204405 its reverse (504402135213411), we get a palindrome (618714666417816).

The spelling of 114312531204405 in words is "one hundred fourteen trillion, three hundred twelve billion, five hundred thirty-one million, two hundred four thousand, four hundred five".