45168312 has 128 divisors (see below), whose sum is σ = 136396800. Its totient is φ = 12192768.

The previous prime is 45168293. The next prime is 45168317. The reversal of 45168312 is 21386154.

45168312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45168312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45168317) 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 31 ways as a sum of consecutive naturals, for example, 355593 + ... + 355719.

It is an arithmetic number, because the mean of its divisors is an integer number (1065600).

Almost surely, 2^45168312 is an apocalyptic number.

45168312 is a gapful number since it is divisible by the number (42) 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 45168312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68198400).

45168312 is an abundant number, since it is smaller than the sum of its proper divisors (91228488).

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

45168312 is a wasteful number, since it uses less digits than its factorization.

45168312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 45168312 is about 6720.7374595352. The cubic root of 45168312 is about 356.1322363605.

The spelling of 45168312 in words is "forty-five million, one hundred sixty-eight thousand, three hundred twelve".