45734544 has 80 divisors (see below), whose sum is σ = 132997440. Its totient is φ = 15233184.

The previous prime is 45734543. The next prime is 45734551. The reversal of 45734544 is 44543754.

45734544 is a `hidden beast` number, since 4 + 573 + 45 + 44 = 666.

45734544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45734499 and 45734508.

It is not an unprimeable number, because it can be changed into a prime (45734543) 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 15 ways as a sum of consecutive naturals, for example, 34339 + ... + 35645.

It is an arithmetic number, because the mean of its divisors is an integer number (1662468).

Almost surely, 2^45734544 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 45734544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66498720).

45734544 is an abundant number, since it is smaller than the sum of its proper divisors (87262896).

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

45734544 is an equidigital number, since it uses as much as digits as its factorization.

45734544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1312 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 45734544 is about 6762.7319923238. The cubic root of 45734544 is about 357.6142240187.

The spelling of 45734544 in words is "forty-five million, seven hundred thirty-four thousand, five hundred forty-four".