45349632 has 108 divisors (see below), whose sum is σ = 135782920. Its totient is φ = 15116544.

The previous prime is 45349589. The next prime is 45349651. The reversal of 45349632 is 23694354.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45349632 is a `hidden beast` number, since 4 + 534 + 96 + 32 = 666.

45349632 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 (108).

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

Its product of digits (77760) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6.

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 11 ways as a sum of consecutive naturals, for example, 15116543 + 15116544 + 15116545.

Almost surely, 2^45349632 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 45349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67891460).

45349632 is an abundant number, since it is smaller than the sum of its proper divisors (90433288).

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

45349632 is an frugal number, since it uses more digits than its factorization.

45349632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 5 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 45349632 is about 6734.2135398278. The cubic root of 45349632 is about 356.6081428806.

45349632 divided by its sum of digits (36) gives a cube (1259712 = 108³).

The spelling of 45349632 in words is "forty-five million, three hundred forty-nine thousand, six hundred thirty-two".