4873188096 has 648 divisors, whose sum is σ = 18142086144. Its totient is φ = 1276508160.

The previous prime is 4873188059. The next prime is 4873188097. The reversal of 4873188096 is 6908813784.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×4873188096² = 47495924437992210432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4873188097) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157199601 + ... + 157199631.

Almost surely, 2^4873188096 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 4873188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071043072).

4873188096 is an abundant number, since it is smaller than the sum of its proper divisors (13268898048).

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

4873188096 is an equidigital number, since it uses as much as digits as its factorization.

4873188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 4873188096 is about 69808.2236989311. The cubic root of 4873188096 is about 1695.3956254049.

The spelling of 4873188096 in words is "four billion, eight hundred seventy-three million, one hundred eighty-eight thousand, ninety-six".