45334144 has 32 divisors (see below), whose sum is σ = 90958500. Its totient is φ = 22505472.

The previous prime is 45334141. The next prime is 45334181. The reversal of 45334144 is 44143354.

45334144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42094144 + 3240000 = 6488^2 + 1800^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×45334144² = 4110369224425472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45334141) 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 3 ways as a sum of consecutive naturals, for example, 17884 + ... + 20260.

Almost surely, 2^45334144 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 45334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45479250).

45334144 is an abundant number, since it is smaller than the sum of its proper divisors (45624356).

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

45334144 is a wasteful number, since it uses less digits than its factorization.

45334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2528 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 45334144 is about 6733.0634929429. The cubic root of 45334144 is about 356.5675414795.

Adding to 45334144 its reverse (44143354), we get a palindrome (89477498).

The spelling of 45334144 in words is "forty-five million, three hundred thirty-four thousand, one hundred forty-four".