54366144 has 112 divisors (see below), whose sum is σ = 173126400. Its totient is φ = 14708736.

The previous prime is 54366139. The next prime is 54366149. The reversal of 54366144 is 44166345.

It is an interprime number because it is at equal distance from previous prime (54366139) and next prime (54366149).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×54366144² = 5911355226857472, which contains 22 as substring.

Its product of digits (34560) is a multiple of the sum of its prime divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54366149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24472 + ... + 26600.

Almost surely, 2^54366144 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 54366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86563200).

54366144 is an abundant number, since it is smaller than the sum of its proper divisors (118760256).

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

54366144 is a wasteful number, since it uses less digits than its factorization.

54366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2160 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 54366144 is about 7373.3400843851. The cubic root of 54366144 is about 378.8286738723.

The spelling of 54366144 in words is "fifty-four million, three hundred sixty-six thousand, one hundred forty-four".