4113166705965 has 24 divisors (see below), whose sum is σ = 7138982343168. Its totient is φ = 2190767868000.

The previous prime is 4113166705937. The next prime is 4113166706029. The reversal of 4113166705965 is 5695076613114.

4113166705965 is a `hidden beast` number, since 4 + 11 + 31 + 6 + 6 + 7 + 0 + 596 + 5 = 666.

It is not a de Polignac number, because 4113166705965 - 2⁸ = 4113166705709 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60820869 + ... + 60888458.

It is an arithmetic number, because the mean of its divisors is an integer number (297457597632).

Almost surely, 2^{4113166705965} is an apocalyptic number.

4113166705965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4113166705965 is a deficient number, since it is larger than the sum of its proper divisors (3025815637203).

4113166705965 is a wasteful number, since it uses less digits than its factorization.

4113166705965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121710089 (or 121710086 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 4113166705965 in words is "four trillion, one hundred thirteen billion, one hundred sixty-six million, seven hundred five thousand, nine hundred sixty-five".