45568512 has 240 divisors, whose sum is σ = 153204480. Its totient is φ = 12902400.

The previous prime is 45568511. The next prime is 45568531. The reversal of 45568512 is 21586554.

45568512 is a `hidden beast` number, since 45 + 568 + 51 + 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 (45568511) 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, 1469937 + ... + 1469967.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^45568512 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 45568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

45568512 is an abundant number, since it is smaller than the sum of its proper divisors (107635968).

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

45568512 is a wasteful number, since it uses less digits than its factorization.

45568512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

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

The square root of 45568512 is about 6750.4453186438. The cubic root of 45568512 is about 357.1809453931.

The spelling of 45568512 in words is "forty-five million, five hundred sixty-eight thousand, five hundred twelve".