114123544407 has 20 divisors (see below), whose sum is σ = 180509137776. Its totient is φ = 71606928960.

The previous prime is 114123544351. The next prime is 114123544411. The reversal of 114123544407 is 704445321411.

114123544407 is a `hidden beast` number, since 1 + 14 + 1 + 235 + 4 + 4 + 407 = 666.

It is not a de Polignac number, because 114123544407 - 2⁶ = 114123544343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123544607) 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 19 ways as a sum of consecutive naturals, for example, 41437819 + ... + 41440572.

Almost surely, 2^114123544407 is an apocalyptic number.

114123544407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

114123544407 is a deficient number, since it is larger than the sum of its proper divisors (66385593369).

114123544407 is an equidigital number, since it uses as much as digits as its factorization.

114123544407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82878420 (or 82878411 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 114123544407 its reverse (704445321411), we get a palindrome (818568865818).

The spelling of 114123544407 in words is "one hundred fourteen billion, one hundred twenty-three million, five hundred forty-four thousand, four hundred seven".