45829168 has 40 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 17855040.

The previous prime is 45829163. The next prime is 45829177. The reversal of 45829168 is 86192854.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45829163) 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, 17368 + ... + 19831.

It is an arithmetic number, because the mean of its divisors is an integer number (2767680).

Almost surely, 2^45829168 is an apocalyptic number.

It is an amenable number.

45829168 is an abundant number, since it is smaller than the sum of its proper divisors (64878032).

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

45829168 is a wasteful number, since it uses less digits than its factorization.

45829168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37225 (or 37219 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 45829168 is about 6769.7243666194. The cubic root of 45829168 is about 357.8606867199.

The spelling of 45829168 in words is "forty-five million, eight hundred twenty-nine thousand, one hundred sixty-eight".