4564058112 has 216 divisors, whose sum is σ = 13617804564. Its totient is φ = 1472200704.

The previous prime is 4564058101. The next prime is 4564058113. The reversal of 4564058112 is 2118504654.

It is a happy number.

4564058112 is a `hidden beast` number, since 4 + 5 + 64 + 0 + 581 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4464377856 + 99680256 = 66816^2 + 9984^2 .

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 (4564058113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62521308 + ... + 62521380.

Almost surely, 2^4564058112 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 4564058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808902282).

4564058112 is an abundant number, since it is smaller than the sum of its proper divisors (9053746452).

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

4564058112 is an frugal number, since it uses more digits than its factorization.

4564058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4564058112 is about 67557.8131084777. The cubic root of 4564058112 is about 1658.7606407034.

The spelling of 4564058112 in words is "four billion, five hundred sixty-four million, fifty-eight thousand, one hundred twelve".