4882166688 has 192 divisors, whose sum is σ = 15242895360. Its totient is φ = 1338854400.

The previous prime is 4882166651. The next prime is 4882166701. The reversal of 4882166688 is 8866612884.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728098 + ... + 2729886.

It is an arithmetic number, because the mean of its divisors is an integer number (79390080).

Almost surely, 2^4882166688 is an apocalyptic number.

4882166688 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 4882166688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621447680).

4882166688 is an abundant number, since it is smaller than the sum of its proper divisors (10360728672).

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

4882166688 is a wasteful number, since it uses less digits than its factorization.

4882166688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The square root of 4882166688 is about 69872.5030895559. The cubic root of 4882166688 is about 1696.4362122594.

The spelling of 4882166688 in words is "four billion, eight hundred eighty-two million, one hundred sixty-six thousand, six hundred eighty-eight".