45128664 has 80 divisors (see below), whose sum is σ = 144474000. Its totient is φ = 12892608.

The previous prime is 45128663. The next prime is 45128683. The reversal of 45128664 is 46682154.

45128664 is a `hidden beast` number, since 4 + 512 + 86 + 64 = 666.

45128664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45128663) 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 19 ways as a sum of consecutive naturals, for example, 439 + ... + 9510.

It is an arithmetic number, because the mean of its divisors is an integer number (1805925).

Almost surely, 2^45128664 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 45128664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72237000).

45128664 is an abundant number, since it is smaller than the sum of its proper divisors (99345336).

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

45128664 is a wasteful number, since it uses less digits than its factorization.

45128664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9961 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45128664 is about 6717.7871356571. The cubic root of 45128664 is about 356.0280035203.

The spelling of 45128664 in words is "forty-five million, one hundred twenty-eight thousand, six hundred sixty-four".