45189664 has 48 divisors (see below), whose sum is σ = 99997632. Its totient is φ = 19945728.

The previous prime is 45189653. The next prime is 45189671. The reversal of 45189664 is 46698154.

It is a self number, because there is not a number n which added to its sum of digits gives 45189664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7207 + ... + 11929.

It is an arithmetic number, because the mean of its divisors is an integer number (2083284).

Almost surely, 2^45189664 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 45189664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49998816).

45189664 is an abundant number, since it is smaller than the sum of its proper divisors (54807968).

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

45189664 is a wasteful number, since it uses less digits than its factorization.

45189664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4761 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 45189664 is about 6722.3257879993. The cubic root of 45189664 is about 356.1883445573.

The spelling of 45189664 in words is "forty-five million, one hundred eighty-nine thousand, six hundred sixty-four".