114038417649 has 16 divisors (see below), whose sum is σ = 164432620800. Its totient is φ = 69883852416.

The previous prime is 114038417627. The next prime is 114038417651. The reversal of 114038417649 is 946714830411.

It is not a de Polignac number, because 114038417649 - 2²⁰ = 114037369073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114038417598 and 114038417607.

It is not an unprimeable number, because it can be changed into a prime (114038410649) 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 15 ways as a sum of consecutive naturals, for example, 6107964 + ... + 6126605.

It is an arithmetic number, because the mean of its divisors is an integer number (10277038800).

Almost surely, 2^114038417649 is an apocalyptic number.

It is an amenable number.

114038417649 is a deficient number, since it is larger than the sum of its proper divisors (50394203151).

114038417649 is a wasteful number, since it uses less digits than its factorization.

114038417649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234824.

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 114038417649 in words is "one hundred fourteen billion, thirty-eight million, four hundred seventeen thousand, six hundred forty-nine".