45125344 has 48 divisors (see below), whose sum is σ = 102631536. Its totient is φ = 19302400.

The previous prime is 45125303. The next prime is 45125347. The reversal of 45125344 is 44352154.

It is a super-2 number, since 2×45125344² = 4072593342236672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45125347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2214 + ... + 9754.

It is an arithmetic number, because the mean of its divisors is an integer number (2138157).

Almost surely, 2^45125344 is an apocalyptic number.

45125344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51315768).

45125344 is an abundant number, since it is smaller than the sum of its proper divisors (57506192).

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

45125344 is a wasteful number, since it uses less digits than its factorization.

45125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7571 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 45125344 is about 6717.5400259321. The cubic root of 45125344 is about 356.0192726174.

Adding to 45125344 its reverse (44352154), we get a palindrome (89477498).

The spelling of 45125344 in words is "forty-five million, one hundred twenty-five thousand, three hundred forty-four".