45565632 has 112 divisors (see below), whose sum is σ = 153131520. Its totient is φ = 13015296.

The previous prime is 45565631. The next prime is 45565633. The reversal of 45565632 is 23656554.

It is a happy number.

45565632 is a `hidden beast` number, since 45 + 56 + 563 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45565631) and next prime (45565633).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (45565631) 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, 10213 + ... + 13979.

Almost surely, 2^45565632 is an apocalyptic number.

45565632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76565760).

45565632 is an abundant number, since it is smaller than the sum of its proper divisors (107565888).

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

45565632 is a wasteful number, since it uses less digits than its factorization.

45565632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3779 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 45565632 is about 6750.2319960132. The cubic root of 45565632 is about 357.1734204396.

The spelling of 45565632 in words is "forty-five million, five hundred sixty-five thousand, six hundred thirty-two".