45521568 has 192 divisors, whose sum is σ = 145152000. Its totient is φ = 13830912.

The previous prime is 45521557. The next prime is 45521569. The reversal of 45521568 is 86512554.

45521568 is a `hidden beast` number, since 45 + 52 + 1 + 568 = 666.

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 (45521569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771523 + ... + 771581.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^45521568 is an apocalyptic number.

45521568 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 45521568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

45521568 is an abundant number, since it is smaller than the sum of its proper divisors (99630432).

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

45521568 is a wasteful number, since it uses less digits than its factorization.

45521568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

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

The square root of 45521568 is about 6746.9673187292. The cubic root of 45521568 is about 357.0582490930.

The spelling of 45521568 in words is "forty-five million, five hundred twenty-one thousand, five hundred sixty-eight".