45181824 has 64 divisors (see below), whose sum is σ = 121351440. Its totient is φ = 14893056.

The previous prime is 45181823. The next prime is 45181837. The reversal of 45181824 is 42818154.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45181823) 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, 36642 + ... + 37854.

Almost surely, 2^45181824 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 45181824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60675720).

45181824 is an abundant number, since it is smaller than the sum of its proper divisors (76169616).

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

45181824 is a wasteful number, since it uses less digits than its factorization.

45181824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1315 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 45181824 is about 6721.7426311932. The cubic root of 45181824 is about 356.1677448753.

Adding to 45181824 its reverse (42818154), we get a palindrome (87999978).

The spelling of 45181824 in words is "forty-five million, one hundred eighty-one thousand, eight hundred twenty-four".