114829168417 has 16 divisors (see below), whose sum is σ = 121690296000. Its totient is φ = 108052095744.

The previous prime is 114829168387. The next prime is 114829168427. The reversal of 114829168417 is 714861928411.

It is a cyclic number.

It is not a de Polignac number, because 114829168417 - 2³¹ = 112681684769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114829168427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1778934 + ... + 1842352.

It is an arithmetic number, because the mean of its divisors is an integer number (7605643500).

Almost surely, 2^114829168417 is an apocalyptic number.

It is an amenable number.

114829168417 is a deficient number, since it is larger than the sum of its proper divisors (6861127583).

114829168417 is a wasteful number, since it uses less digits than its factorization.

114829168417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64080.

The product of its digits is 774144, while the sum is 52.

The spelling of 114829168417 in words is "one hundred fourteen billion, eight hundred twenty-nine million, one hundred sixty-eight thousand, four hundred seventeen".