4581245952 has 462 divisors, whose sum is σ = 15343890318. Its totient is φ = 1361608704.

The previous prime is 4581245951. The next prime is 4581246011. The reversal of 4581245952 is 2595421854.

4581245952 is a `hidden beast` number, since 4 + 58 + 1 + 2 + 4 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4311760896 + 269485056 = 65664^2 + 16416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4581245898 and 4581245907.

It is not an unprimeable number, because it can be changed into a prime (4581245951) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 241118199 + ... + 241118217.

Almost surely, 2^4581245952 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 4581245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671945159).

4581245952 is an abundant number, since it is smaller than the sum of its proper divisors (10762644366).

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

4581245952 is an equidigital number, since it uses as much as digits as its factorization.

4581245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

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

The square root of 4581245952 is about 67684.9019501395. The cubic root of 4581245952 is about 1660.8402810238.

The spelling of 4581245952 in words is "four billion, five hundred eighty-one million, two hundred forty-five thousand, nine hundred fifty-two".