413681904117 has 6 divisors (see below), whose sum is σ = 597540528182. Its totient is φ = 275787936072.

The previous prime is 413681904107. The next prime is 413681904149. The reversal of 413681904117 is 711409186314.

413681904117 is a `hidden beast` number, since 41 + 3 + 6 + 8 + 190 + 411 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214159775076 + 199522129041 = 462774^2 + 446679^2 .

It is not a de Polignac number, because 413681904117 - 2¹⁴ = 413681887733 is a prime.

It is a super-2 number, since 2×413681904117² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413681904107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22982327998 + ... + 22982328015.

Almost surely, 2^413681904117 is an apocalyptic number.

It is an amenable number.

413681904117 is a deficient number, since it is larger than the sum of its proper divisors (183858624065).

413681904117 is a wasteful number, since it uses less digits than its factorization.

413681904117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45964656019 (or 45964656016 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 413681904117 in words is "four hundred thirteen billion, six hundred eighty-one million, nine hundred four thousand, one hundred seventeen".