45322144 has 96 divisors (see below), whose sum is σ = 112250880. Its totient is φ = 17563392.

The previous prime is 45322141. The next prime is 45322169. The reversal of 45322144 is 44122354.

It is a happy number.

45322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45322141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97657 + ... + 98119.

It is an arithmetic number, because the mean of its divisors is an integer number (1169280).

Almost surely, 2^45322144 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 45322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56125440).

45322144 is an abundant number, since it is smaller than the sum of its proper divisors (66928736).

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

45322144 is a wasteful number, since it uses less digits than its factorization.

45322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 45322144 is about 6732.1723091436. The cubic root of 45322144 is about 356.5360774238.

Adding to 45322144 its reverse (44122354), we get a palindrome (89444498).

The spelling of 45322144 in words is "forty-five million, three hundred twenty-two thousand, one hundred forty-four".