4813246368 has 192 divisors, whose sum is σ = 16080261120. Its totient is φ = 1372121856.

The previous prime is 4813246367. The next prime is 4813246381. The reversal of 4813246368 is 8636423184.

4813246368 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 2 + 4 + 636 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4813246367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4977021 + ... + 4977987.

It is an arithmetic number, because the mean of its divisors is an integer number (83751360).

Almost surely, 2^4813246368 is an apocalyptic number.

4813246368 is a gapful number since it is divisible by the number (48) 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 4813246368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040130560).

4813246368 is an abundant number, since it is smaller than the sum of its proper divisors (11267014752).

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

4813246368 is a wasteful number, since it uses less digits than its factorization.

4813246368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1802 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4813246368 is about 69377.5638661376. The cubic root of 4813246368 is about 1688.4156303029.

The spelling of 4813246368 in words is "four billion, eight hundred thirteen million, two hundred forty-six thousand, three hundred sixty-eight".