114676367127 has 48 divisors (see below), whose sum is σ = 178539102720. Its totient is φ = 65281664448.

The previous prime is 114676367107. The next prime is 114676367129. The reversal of 114676367127 is 721763676411.

It is not a de Polignac number, because 114676367127 - 2²⁶ = 114609258263 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114676367127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114676367129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78923133 + ... + 78924585.

It is an arithmetic number, because the mean of its divisors is an integer number (3719564640).

Almost surely, 2^114676367127 is an apocalyptic number.

114676367127 is a deficient number, since it is larger than the sum of its proper divisors (63862735593).

114676367127 is a wasteful number, since it uses less digits than its factorization.

114676367127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3125 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The spelling of 114676367127 in words is "one hundred fourteen billion, six hundred seventy-six million, three hundred sixty-seven thousand, one hundred twenty-seven".