54444168 has 96 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 17400960.

The previous prime is 54444161. The next prime is 54444209. The reversal of 54444168 is 86144445.

It is a happy number.

54444168 is a `hidden beast` number, since 54 + 444 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54444161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284953 + ... + 285143.

It is an arithmetic number, because the mean of its divisors is an integer number (1600560).

Almost surely, 2^54444168 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 54444168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

54444168 is an abundant number, since it is smaller than the sum of its proper divisors (99209592).

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

54444168 is a wasteful number, since it uses less digits than its factorization.

54444168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 54444168 is about 7378.6291409719. The cubic root of 54444168 is about 379.0098135641.

The spelling of 54444168 in words is "fifty-four million, four hundred forty-four thousand, one hundred sixty-eight".