54411168 has 144 divisors (see below), whose sum is σ = 170644320. Its totient is φ = 15128064.

The previous prime is 54411151. The next prime is 54411173. The reversal of 54411168 is 86111445.

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, 202138 + ... + 202406.

It is an arithmetic number, because the mean of its divisors is an integer number (1185030).

Almost surely, 2^54411168 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 54411168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85322160).

54411168 is an abundant number, since it is smaller than the sum of its proper divisors (116233152).

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

54411168 is a wasteful number, since it uses less digits than its factorization.

54411168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 54411168 is about 7376.3926142797. The cubic root of 54411168 is about 378.9332222465.

The spelling of 54411168 in words is "fifty-four million, four hundred eleven thousand, one hundred sixty-eight".