4813120213184 has 56 divisors (see below), whose sum is σ = 9820521857520. Its totient is φ = 2339491175424.

The previous prime is 4813120213169. The next prime is 4813120213199.

It is a happy number.

4813120213184 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4813120213169) and next prime (4813120213199).

It is a super-2 number, since 2×4813120213184² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6139274 + ... + 6878729.

Almost surely, 2^{4813120213184} is an apocalyptic number.

It is an amenable number.

4813120213184 is an abundant number, since it is smaller than the sum of its proper divisors (5007401644336).

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

4813120213184 is a wasteful number, since it uses less digits than its factorization.

4813120213184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018177 (or 13018167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 4813120213184 in words is "four trillion, eight hundred thirteen billion, one hundred twenty million, two hundred thirteen thousand, one hundred eighty-four".