45014144 has 48 divisors (see below), whose sum is σ = 104332230. Its totient is φ = 19289088.

The previous prime is 45014143. The next prime is 45014149. The reversal of 45014144 is 44141054.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28302400 + 16711744 = 5320^2 + 4088^2 .

It is not an unprimeable number, because it can be changed into a prime (45014141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2684 + ... + 9860.

Almost surely, 2^45014144 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 45014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52166115).

45014144 is an abundant number, since it is smaller than the sum of its proper divisors (59318086).

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

45014144 is an equidigital number, since it uses as much as digits as its factorization.

45014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 45014144 is about 6709.2580811890. The cubic root of 45014144 is about 355.7265922482.

Adding to 45014144 its reverse (44141054), we get a palindrome (89155198).

The spelling of 45014144 in words is "forty-five million, fourteen thousand, one hundred forty-four".