4813834809600 has 162 divisors, whose sum is σ = 17210546106026. Its totient is φ = 1283689267200.

The previous prime is 4813834809583. The next prime is 4813834809643. The reversal of 4813834809600 is 69084383184.

4813834809600 is a `hidden beast` number, since 4 + 81 + 3 + 83 + 480 + 9 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 139314069504 + 4674520740096 = 373248^2 + 2162064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41729161 + ... + 41844360.

Almost surely, 2^{4813834809600} is an apocalyptic number.

4813834809600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4813834809600 is an abundant number, since it is smaller than the sum of its proper divisors (12396711296426).

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

4813834809600 is a wasteful number, since it uses less digits than its factorization.

4813834809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83573553 (or 83573531 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4813834809600 in words is "four trillion, eight hundred thirteen billion, eight hundred thirty-four million, eight hundred nine thousand, six hundred".