45111144 has 64 divisors (see below), whose sum is σ = 122250240. Its totient is φ = 13789440.

The previous prime is 45111127. The next prime is 45111151. The reversal of 45111144 is 44111154.

It is a self number, because there is not a number n which added to its sum of digits gives 45111144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59214 + ... + 59970.

It is an arithmetic number, because the mean of its divisors is an integer number (1910160).

Almost surely, 2^45111144 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 45111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61125120).

45111144 is an abundant number, since it is smaller than the sum of its proper divisors (77139096).

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

45111144 is a wasteful number, since it uses less digits than its factorization.

45111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 45111144 is about 6716.4830082417. The cubic root of 45111144 is about 355.9819247651.

Adding to 45111144 its reverse (44111154), we get a palindrome (89222298).

The spelling of 45111144 in words is "forty-five million, one hundred eleven thousand, one hundred forty-four".