45637218 has 48 divisors (see below), whose sum is σ = 109208736. Its totient is φ = 13657920.

The previous prime is 45637201. The next prime is 45637219. The reversal of 45637218 is 81273654.

45637218 is a `hidden beast` number, since 4 + 5 + 637 + 2 + 18 = 666.

45637218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45637219) 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 23 ways as a sum of consecutive naturals, for example, 15046 + ... + 17822.

It is an arithmetic number, because the mean of its divisors is an integer number (2275182).

Almost surely, 2^45637218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45637218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604368).

45637218 is an abundant number, since it is smaller than the sum of its proper divisors (63571518).

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

45637218 is a wasteful number, since it uses less digits than its factorization.

45637218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2876 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45637218 is about 6755.5323994486. The cubic root of 45637218 is about 357.3603686368.

It can be divided in two parts, 4563 and 7218, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 45637218 in words is "forty-five million, six hundred thirty-seven thousand, two hundred eighteen".