4458125952 has 640 divisors, whose sum is σ = 16528406400. Its totient is φ = 1164533760.

The previous prime is 4458125941. The next prime is 4458125953. The reversal of 4458125952 is 2595218544.

4458125952 is a `hidden beast` number, since 4 + 4 + 58 + 1 + 2 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4458125898 and 4458125907.

It is not an unprimeable number, because it can be changed into a prime (4458125953) 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 79 ways as a sum of consecutive naturals, for example, 73084002 + ... + 73084062.

It is an arithmetic number, because the mean of its divisors is an integer number (25825635).

Almost surely, 2^4458125952 is an apocalyptic number.

4458125952 is a gapful number since it is divisible by the number (42) 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 4458125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264203200).

4458125952 is an abundant number, since it is smaller than the sum of its proper divisors (12070280448).

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

4458125952 is a wasteful number, since it uses less digits than its factorization.

4458125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 4458125952 is about 66769.1991265434. The cubic root of 4458125952 is about 1645.8267296682.

The spelling of 4458125952 in words is "four billion, four hundred fifty-eight million, one hundred twenty-five thousand, nine hundred fifty-two".