45541184 has 56 divisors (see below), whose sum is σ = 98316288. Its totient is φ = 20805120.

The previous prime is 45541159. The next prime is 45541213. The reversal of 45541184 is 48114554.

45541184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 45541184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105449 + ... + 105879.

It is an arithmetic number, because the mean of its divisors is an integer number (1755648).

Almost surely, 2^45541184 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 45541184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158144).

45541184 is an abundant number, since it is smaller than the sum of its proper divisors (52775104).

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

45541184 is a wasteful number, since it uses less digits than its factorization.

45541184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its digits is 12800, while the sum is 32.

The square root of 45541184 is about 6748.4208523180. The cubic root of 45541184 is about 357.1095291719.

The spelling of 45541184 in words is "forty-five million, five hundred forty-one thousand, one hundred eighty-four".