45332064 has 144 divisors (see below), whose sum is σ = 140107968. Its totient is φ = 13848576.

The previous prime is 45332003. The next prime is 45332083. The reversal of 45332064 is 46023354.

45332064 is a `hidden beast` number, since 453 + 3 + 206 + 4 = 666.

45332064 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 (144).

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 23 ways as a sum of consecutive naturals, for example, 230014 + ... + 230210.

It is an arithmetic number, because the mean of its divisors is an integer number (972972).

Almost surely, 2^45332064 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 45332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70053984).

45332064 is an abundant number, since it is smaller than the sum of its proper divisors (94775904).

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

45332064 is a wasteful number, since it uses less digits than its factorization.

45332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45332064 is about 6732.9090295355. The cubic root of 45332064 is about 356.5620881077.

The spelling of 45332064 in words is "forty-five million, three hundred thirty-two thousand, sixty-four".