45666504 has 144 divisors (see below), whose sum is σ = 139885200. Its totient is φ = 13950144.

The previous prime is 45666499. The next prime is 45666527. The reversal of 45666504 is 40566654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 328467 + ... + 328605.

It is an arithmetic number, because the mean of its divisors is an integer number (971425).

Almost surely, 2^45666504 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 45666504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69942600).

45666504 is an abundant number, since it is smaller than the sum of its proper divisors (94218696).

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

45666504 is a wasteful number, since it uses less digits than its factorization.

45666504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45666504 is about 6757.6996085946. The cubic root of 45666504 is about 357.4367932333.

It can be divided in two parts, 4566650 and 4, that added together give a palindrome (4566654).

The spelling of 45666504 in words is "forty-five million, six hundred sixty-six thousand, five hundred four".