45018180 has 144 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 11726208.

The previous prime is 45018161. The next prime is 45018187. The reversal of 45018180 is 8181054.

45018180 is a `hidden beast` number, since 4 + 501 + 81 + 80 = 666.

45018180 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 (27).

It is not an unprimeable number, because it can be changed into a prime (45018187) 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 47 ways as a sum of consecutive naturals, for example, 286662 + ... + 286818.

It is an arithmetic number, because the mean of its divisors is an integer number (1006460).

Almost surely, 2^45018180 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 45018180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465120).

45018180 is an abundant number, since it is smaller than the sum of its proper divisors (99912060).

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

45018180 is a wasteful number, since it uses less digits than its factorization.

45018180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 45018180 is about 6709.5588528606. The cubic root of 45018180 is about 355.7372234965.

The spelling of 45018180 in words is "forty-five million, eighteen thousand, one hundred eighty".