45541120 has 72 divisors (see below), whose sum is σ = 111553344. Its totient is φ = 17805312.

The previous prime is 45541109. The next prime is 45541121. The reversal of 45541120 is 2114554.

It is a super-2 number, since 2×45541120² = 4147987221708800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45541091 and 45541100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45541121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59782 + ... + 60538.

It is an arithmetic number, because the mean of its divisors is an integer number (1549352).

Almost surely, 2^45541120 is an apocalyptic number.

45541120 is a gapful number since it is divisible by the number (40) 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 45541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55776672).

45541120 is an abundant number, since it is smaller than the sum of its proper divisors (66012224).

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

45541120 is an equidigital number, since it uses as much as digits as its factorization.

45541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 45541120 is about 6748.4161104662. The cubic root of 45541120 is about 357.1093618873.

Adding to 45541120 its reverse (2114554), we get a palindrome (47655674).

The spelling of 45541120 in words is "forty-five million, five hundred forty-one thousand, one hundred twenty".