45645552 has 80 divisors (see below), whose sum is σ = 132050080. Its totient is φ = 15095808.

The previous prime is 45645539. The next prime is 45645553. The reversal of 45645552 is 25554654.

45645552 is a `hidden beast` number, since 4 + 5 + 645 + 5 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645553) 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, 67488 + ... + 68160.

It is an arithmetic number, because the mean of its divisors is an integer number (1650626).

Almost surely, 2^45645552 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 45645552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66025040).

45645552 is an abundant number, since it is smaller than the sum of its proper divisors (86404528).

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

45645552 is a wasteful number, since it uses less digits than its factorization.

45645552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 45645552 is about 6756.1491990630. The cubic root of 45645552 is about 357.3821203282.

The spelling of 45645552 in words is "forty-five million, six hundred forty-five thousand, five hundred fifty-two".