4882864896 has 432 divisors, whose sum is σ = 18105343200. Its totient is φ = 1286627328.

The previous prime is 4882864873. The next prime is 4882864981. The reversal of 4882864896 is 6984682884.

4882864896 is a `hidden beast` number, since 488 + 2 + 8 + 64 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×4882864896³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402390 + ... + 4403498.

Almost surely, 2^4882864896 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 4882864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052671600).

4882864896 is an abundant number, since it is smaller than the sum of its proper divisors (13222478304).

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

4882864896 is a wasteful number, since it uses less digits than its factorization.

4882864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1134 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The square root of 4882864896 is about 69877.4992111195. The cubic root of 4882864896 is about 1696.5170786008.

The spelling of 4882864896 in words is "four billion, eight hundred eighty-two million, eight hundred sixty-four thousand, eight hundred ninety-six".