4861881684 has 96 divisors (see below), whose sum is σ = 13764374400. Its totient is φ = 1471841280.

The previous prime is 4861881653. The next prime is 4861881707.

It is a happy number.

4861881684 is a `hidden beast` number, since 4 + 8 + 618 + 8 + 16 + 8 + 4 = 666.

4861881684 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4861881684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2395182 + ... + 2397210.

It is an arithmetic number, because the mean of its divisors is an integer number (143378900).

Almost surely, 2^4861881684 is an apocalyptic number.

4861881684 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 4861881684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882187200).

4861881684 is an abundant number, since it is smaller than the sum of its proper divisors (8902492716).

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

4861881684 is a wasteful number, since it uses less digits than its factorization.

4861881684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4062 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 4861881684 is about 69727.1947234363. The cubic root of 4861881684 is about 1694.0834327215.

The spelling of 4861881684 in words is "four billion, eight hundred sixty-one million, eight hundred eighty-one thousand, six hundred eighty-four".