45164180 has 48 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 16904448.

The previous prime is 45164173. The next prime is 45164213. The reversal of 45164180 is 8146154.

45164180 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

45164180 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20576 + ... + 22664.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 2^45164180 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 45164180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

45164180 is an abundant number, since it is smaller than the sum of its proper divisors (55958380).

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

45164180 is a wasteful number, since it uses less digits than its factorization.

45164180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 45164180 is about 6720.4300457634. The cubic root of 45164180 is about 356.1213763629.

The spelling of 45164180 in words is "forty-five million, one hundred sixty-four thousand, one hundred eighty".