4891881984 has 160 divisors (see below), whose sum is σ = 14271586560. Its totient is φ = 1476710400.

The previous prime is 4891881941. The next prime is 4891881991.

4891881984 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7079079 + ... + 7079769.

It is an arithmetic number, because the mean of its divisors is an integer number (89197416).

Almost surely, 2^4891881984 is an apocalyptic number.

4891881984 is a gapful number since it is divisible by the number (44) 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 4891881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135793280).

4891881984 is an abundant number, since it is smaller than the sum of its proper divisors (9379704576).

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

4891881984 is a wasteful number, since it uses less digits than its factorization.

4891881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 60.

The square root of 4891881984 is about 69941.9901346823. The cubic root of 4891881984 is about 1697.5607443687.

The spelling of 4891881984 in words is "four billion, eight hundred ninety-one million, eight hundred eighty-one thousand, nine hundred eighty-four".