45366144 has 128 divisors (see below), whose sum is σ = 128993280. Its totient is φ = 14100480.

The previous prime is 45366133. The next prime is 45366151. The reversal of 45366144 is 44166354.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440397 + ... + 440499.

It is an arithmetic number, because the mean of its divisors is an integer number (1007760).

Almost surely, 2^45366144 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 45366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64496640).

45366144 is an abundant number, since it is smaller than the sum of its proper divisors (83627136).

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

45366144 is a wasteful number, since it uses less digits than its factorization.

45366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

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

The square root of 45366144 is about 6735.4394066015. The cubic root of 45366144 is about 356.6514184920.

The spelling of 45366144 in words is "forty-five million, three hundred sixty-six thousand, one hundred forty-four".