54666144 has 192 divisors, whose sum is σ = 178375680. Its totient is φ = 16174080.

The previous prime is 54666137. The next prime is 54666179. The reversal of 54666144 is 44166645.

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

It is a junction number, because it is equal to n+sod(n) for n = 54666099 and 54666108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348114 + ... + 348270.

It is an arithmetic number, because the mean of its divisors is an integer number (929040).

Almost surely, 2^54666144 is an apocalyptic number.

54666144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89187840).

54666144 is an abundant number, since it is smaller than the sum of its proper divisors (123709536).

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

54666144 is a wasteful number, since it uses less digits than its factorization.

54666144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 54666144 is about 7393.6556587388. The cubic root of 54666144 is about 379.5242059893.

The spelling of 54666144 in words is "fifty-four million, six hundred sixty-six thousand, one hundred forty-four".