45566664 has 192 divisors, whose sum is σ = 144789120. Its totient is φ = 11827200.

The previous prime is 45566639. The next prime is 45566671. The reversal of 45566664 is 46666554.

It is a happy number.

45566664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 641749 + ... + 641819.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^45566664 is an apocalyptic number.

45566664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45566664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

45566664 is an abundant number, since it is smaller than the sum of its proper divisors (99222456).

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

45566664 is a wasteful number, since it uses less digits than its factorization.

45566664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 45566664 is about 6750.3084373975. The cubic root of 45566664 is about 357.1761169177.

The spelling of 45566664 in words is "forty-five million, five hundred sixty-six thousand, six hundred sixty-four".