45512064 has 128 divisors (see below), whose sum is σ = 144799200. Its totient is φ = 13989888.

The previous prime is 45512063. The next prime is 45512081. The reversal of 45512064 is 46021554.

45512064 is a `hidden beast` number, since 455 + 1 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45512063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44422 + ... + 45434.

Almost surely, 2^45512064 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 45512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72399600).

45512064 is an abundant number, since it is smaller than the sum of its proper divisors (99287136).

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

45512064 is a wasteful number, since it uses less digits than its factorization.

45512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45512064 is about 6746.2629655239. The cubic root of 45512064 is about 357.0333984713.

The spelling of 45512064 in words is "forty-five million, five hundred twelve thousand, sixty-four".