45192168 has 160 divisors (see below), whose sum is σ = 148800960. Its totient is φ = 12597120.

The previous prime is 45192167. The next prime is 45192197. The reversal of 45192168 is 86129154.

45192168 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 not an unprimeable number, because it can be changed into a prime (45192167) 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 39 ways as a sum of consecutive naturals, for example, 1102228 + ... + 1102268.

It is an arithmetic number, because the mean of its divisors is an integer number (930006).

Almost surely, 2^45192168 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 45192168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400480).

45192168 is an abundant number, since it is smaller than the sum of its proper divisors (103608792).

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

45192168 is an frugal number, since it uses more digits than its factorization.

45192168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 45192168 is about 6722.5120304838. The cubic root of 45192168 is about 356.1949233415.

The spelling of 45192168 in words is "forty-five million, one hundred ninety-two thousand, one hundred sixty-eight".