45561632 has 48 divisors (see below), whose sum is σ = 96603192. Its totient is φ = 21073920.

The previous prime is 45561617. The next prime is 45561671. The reversal of 45561632 is 23616554.

45561632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43612816 + 1948816 = 6604^2 + 1396^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 32498 + ... + 33870.

Almost surely, 2^45561632 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 45561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48301596).

45561632 is an abundant number, since it is smaller than the sum of its proper divisors (51041560).

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

45561632 is a wasteful number, since it uses less digits than its factorization.

45561632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1453 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 45561632 is about 6749.9357033975. The cubic root of 45561632 is about 357.1629685894.

The spelling of 45561632 in words is "forty-five million, five hundred sixty-one thousand, six hundred thirty-two".