45613344 has 96 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 12886272.

The previous prime is 45613343. The next prime is 45613423. The reversal of 45613344 is 44331654.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45613343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68887 + ... + 69545.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^45613344 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 45613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

45613344 is an abundant number, since it is smaller than the sum of its proper divisors (92764896).

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

45613344 is a wasteful number, since it uses less digits than its factorization.

45613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 45613344 is about 6753.7651721096. The cubic root of 45613344 is about 357.2980429741.

Adding to 45613344 its reverse (44331654), we get a palindrome (89944998).

The spelling of 45613344 in words is "forty-five million, six hundred thirteen thousand, three hundred forty-four".