4814689824 has 216 divisors, whose sum is σ = 16359403788. Its totient is φ = 1338301440.

The previous prime is 4814689811. The next prime is 4814689837. The reversal of 4814689824 is 4289864184.

It is a happy number.

4814689824 is a `hidden beast` number, since 481 + 4 + 6 + 89 + 82 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4814689811) and next prime (4814689837).

It can be written as a sum of positive squares in 2 ways, for example, as 3811827600 + 1002862224 = 61740^2 + 31668^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 517534 + ... + 526754.

Almost surely, 2^4814689824 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 4814689824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179701894).

4814689824 is an abundant number, since it is smaller than the sum of its proper divisors (11544713964).

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

4814689824 is a wasteful number, since it uses less digits than its factorization.

4814689824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9270 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4814689824 is about 69387.9659883470. The cubic root of 4814689824 is about 1688.5843944383.

The spelling of 4814689824 in words is "four billion, eight hundred fourteen million, six hundred eighty-nine thousand, eight hundred twenty-four".