45809568 has 144 divisors (see below), whose sum is σ = 153893376. Its totient is φ = 12648960.

The previous prime is 45809567. The next prime is 45809591. The reversal of 45809568 is 86590854.

45809568 is a `hidden beast` number, since 4 + 5 + 80 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45809563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62130 + ... + 62862.

It is an arithmetic number, because the mean of its divisors is an integer number (1068704).

Almost surely, 2^45809568 is an apocalyptic number.

45809568 is a gapful number since it is divisible by the number (48) 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 45809568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76946688).

45809568 is an abundant number, since it is smaller than the sum of its proper divisors (108083808).

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

45809568 is a wasteful number, since it uses less digits than its factorization.

45809568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 45809568 is about 6768.2765900929. The cubic root of 45809568 is about 357.8096633948.

The spelling of 45809568 in words is "forty-five million, eight hundred nine thousand, five hundred sixty-eight".