45168552 has 192 divisors, whose sum is σ = 148599360. Its totient is φ = 12211200.

The previous prime is 45168547. The next prime is 45168553. The reversal of 45168552 is 25586154.

45168552 is a `hidden beast` number, since 45 + 1 + 68 + 552 = 666.

45168552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45168553) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 422083 + ... + 422189.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^45168552 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 45168552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

45168552 is an abundant number, since it is smaller than the sum of its proper divisors (103430808).

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

45168552 is a wasteful number, since it uses less digits than its factorization.

45168552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45168552 is about 6720.7553146949. The cubic root of 45168552 is about 356.1328671241.

The spelling of 45168552 in words is "forty-five million, one hundred sixty-eight thousand, five hundred fifty-two".