4117854181168 has 150 divisors (see below), whose sum is σ = 10078564821564. Its totient is φ = 1629038646144.

The previous prime is 4117854181159. The next prime is 4117854181223. The reversal of 4117854181168 is 8611814587114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6175171 + ... + 6809437.

Almost surely, 2^{4117854181168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117854181168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039282410782).

4117854181168 is an abundant number, since it is smaller than the sum of its proper divisors (5960710640396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4117854181168 is an equidigital number, since it uses as much as digits as its factorization.

4117854181168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634329 (or 634289 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 55.

The spelling of 4117854181168 in words is "four trillion, one hundred seventeen billion, eight hundred fifty-four million, one hundred eighty-one thousand, one hundred sixty-eight".