4823967456 has 432 divisors, whose sum is σ = 18173151360. Its totient is φ = 1175938560.

The previous prime is 4823967439. The next prime is 4823967457. The reversal of 4823967456 is 6547693284.

4823967456 is a `hidden beast` number, since 482 + 3 + 96 + 74 + 5 + 6 = 666.

It is a super-2 number, since 2×4823967456² = 46541324033094223872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4823967457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45083755 + ... + 45083861.

It is an arithmetic number, because the mean of its divisors is an integer number (42067480).

Almost surely, 2^4823967456 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 4823967456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086575680).

4823967456 is an abundant number, since it is smaller than the sum of its proper divisors (13349183904).

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

4823967456 is a wasteful number, since it uses less digits than its factorization.

4823967456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 149 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 4823967456 is about 69454.7871352292. The cubic root of 4823967456 is about 1689.6683003877.

It can be divided in two parts, 4823 and 967456, that added together give a palindrome (972279).

The spelling of 4823967456 in words is "four billion, eight hundred twenty-three million, nine hundred sixty-seven thousand, four hundred fifty-six".