3414066363168 has 48 divisors (see below), whose sum is σ = 9026398513440. Its totient is φ = 1129834907136.

The previous prime is 3414066363139. The next prime is 3414066363179. The reversal of 3414066363168 is 8613636604143.

3414066363168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3414066363168.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127911805 + ... + 127938492.

It is an arithmetic number, because the mean of its divisors is an integer number (188049969030).

Almost surely, 2^{3414066363168} is an apocalyptic number.

It is an amenable number.

3414066363168 is an abundant number, since it is smaller than the sum of its proper divisors (5612332150272).

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

3414066363168 is a wasteful number, since it uses less digits than its factorization.

3414066363168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255850449 (or 255850441 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 3414066363168 in words is "three trillion, four hundred fourteen billion, sixty-six million, three hundred sixty-three thousand, one hundred sixty-eight".