418208468017 has 16 divisors (see below), whose sum is σ = 437666810112. Its totient is φ = 399196670080.

The previous prime is 418208467991. The next prime is 418208468047. The reversal of 418208468017 is 710864802814.

It is a cyclic number.

It is not a de Polignac number, because 418208468017 - 2²⁷ = 418074250289 is a prime.

It is a super-2 number, since 2×418208468017² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418208468047) 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, 6138303 + ... + 6206059.

It is an arithmetic number, because the mean of its divisors is an integer number (27354175632).

Almost surely, 2^418208468017 is an apocalyptic number.

418208468017 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

418208468017 is a deficient number, since it is larger than the sum of its proper divisors (19458342095).

418208468017 is a wasteful number, since it uses less digits than its factorization.

418208468017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71048.

The product of its (nonzero) digits is 688128, while the sum is 49.

The spelling of 418208468017 in words is "four hundred eighteen billion, two hundred eight million, four hundred sixty-eight thousand, seventeen".