4854211824 has 320 divisors, whose sum is σ = 17278894080. Its totient is φ = 1134735360.

The previous prime is 4854211819. The next prime is 4854211829. The reversal of 4854211824 is 4281124584.

It is an interprime number because it is at equal distance from previous prime (4854211819) and next prime (4854211829).

It is a super-2 number, since 2×4854211824² = 47126744864522813952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4854211829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1443457 + ... + 1446815.

It is an arithmetic number, because the mean of its divisors is an integer number (53996544).

Almost surely, 2^4854211824 is an apocalyptic number.

4854211824 is a gapful number since it is divisible by the number (44) 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 4854211824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639447040).

4854211824 is an abundant number, since it is smaller than the sum of its proper divisors (12424682256).

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

4854211824 is a wasteful number, since it uses less digits than its factorization.

4854211824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3422 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 4854211824 is about 69672.1739577573. The cubic root of 4854211824 is about 1693.1921302611.

The spelling of 4854211824 in words is "four billion, eight hundred fifty-four million, two hundred eleven thousand, eight hundred twenty-four".