45566688 has 48 divisors (see below), whose sum is σ = 122169600. Its totient is φ = 14864256.

The previous prime is 45566671. The next prime is 45566701. The reversal of 45566688 is 88666554.

It is a happy number.

45566688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a plaindrome in base 10.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 538 + ... + 9561.

It is an arithmetic number, because the mean of its divisors is an integer number (2545200).

Almost surely, 2^45566688 is an apocalyptic number.

45566688 is a gapful number since it is divisible by the number (48) 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 45566688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61084800).

45566688 is an abundant number, since it is smaller than the sum of its proper divisors (76602912).

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

45566688 is a wasteful number, since it uses less digits than its factorization.

45566688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10151 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 45566688 is about 6750.3102150938. The cubic root of 45566688 is about 357.1761796261.

The spelling of 45566688 in words is "forty-five million, five hundred sixty-six thousand, six hundred eighty-eight".