114777041417 has 16 divisors (see below), whose sum is σ = 121172121600. Its totient is φ = 108556960320.

The previous prime is 114777041387. The next prime is 114777041453. The reversal of 114777041417 is 714140777411.

It is not a de Polignac number, because 114777041417 - 2¹⁰ = 114777040393 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114777041017) 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 15 ways as a sum of consecutive naturals, for example, 977459 + ... + 1088567.

It is an arithmetic number, because the mean of its divisors is an integer number (7573257600).

Almost surely, 2^114777041417 is an apocalyptic number.

It is an amenable number.

114777041417 is a deficient number, since it is larger than the sum of its proper divisors (6395080183).

114777041417 is a wasteful number, since it uses less digits than its factorization.

114777041417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111896.

The product of its (nonzero) digits is 153664, while the sum is 44.

The spelling of 114777041417 in words is "one hundred fourteen billion, seven hundred seventy-seven million, forty-one thousand, four hundred seventeen".