55446144 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 16429056.

The previous prime is 55446137. The next prime is 55446179. The reversal of 55446144 is 44164455.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144577 + ... + 144959.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^55446144 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 55446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

55446144 is an abundant number, since it is smaller than the sum of its proper divisors (109059456).

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

55446144 is a wasteful number, since it uses less digits than its factorization.

55446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 55446144 is about 7446.2167575219. The cubic root of 55446144 is about 381.3207596334.

The spelling of 55446144 in words is "fifty-five million, four hundred forty-six thousand, one hundred forty-four".