45461184 has 56 divisors (see below), whose sum is σ = 121572528. Its totient is φ = 14991360.

The previous prime is 45461161. The next prime is 45461203. The reversal of 45461184 is 48116454.

45461184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 17404 + ... + 19844.

It is an arithmetic number, because the mean of its divisors is an integer number (2170938).

Almost surely, 2^45461184 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 45461184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60786264).

45461184 is an abundant number, since it is smaller than the sum of its proper divisors (76111344).

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

45461184 is a wasteful number, since it uses less digits than its factorization.

45461184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2543 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 45461184 is about 6742.4909343654. The cubic root of 45461184 is about 356.9003009187.

The spelling of 45461184 in words is "forty-five million, four hundred sixty-one thousand, one hundred eighty-four".