45018144 has 108 divisors (see below), whose sum is σ = 135424926. Its totient is φ = 14183424.

The previous prime is 45018143. The next prime is 45018161. The reversal of 45018144 is 44181054.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43718544 + 1299600 = 6612^2 + 1140^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45018143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103752 + ... + 104184.

Almost surely, 2^45018144 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 45018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67712463).

45018144 is an abundant number, since it is smaller than the sum of its proper divisors (90406782).

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

45018144 is a wasteful number, since it uses less digits than its factorization.

45018144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45018144 is about 6709.5561701203. The cubic root of 45018144 is about 355.7371286715.

Adding to 45018144 its reverse (44181054), we get a palindrome (89199198).

The spelling of 45018144 in words is "forty-five million, eighteen thousand, one hundred forty-four".