45536768 has 80 divisors (see below), whose sum is σ = 99517440. Its totient is φ = 20736000.

The previous prime is 45536767. The next prime is 45536783. The reversal of 45536768 is 86763554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45536767) 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, 301493 + ... + 301643.

It is an arithmetic number, because the mean of its divisors is an integer number (1243968).

Almost surely, 2^45536768 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 45536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49758720).

45536768 is an abundant number, since it is smaller than the sum of its proper divisors (53980672).

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

45536768 is a wasteful number, since it uses less digits than its factorization.

45536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 45536768 is about 6748.0936567300. The cubic root of 45536768 is about 357.0979861646.

The spelling of 45536768 in words is "forty-five million, five hundred thirty-six thousand, seven hundred sixty-eight".