4683113864 has 64 divisors (see below), whose sum is σ = 10418345280. Its totient is φ = 1945440000.

The previous prime is 4683113857. The next prime is 4683113987.

4683113864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95279 + ... + 135809.

It is an arithmetic number, because the mean of its divisors is an integer number (162786645).

Almost surely, 2^4683113864 is an apocalyptic number.

4683113864 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 4683113864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209172640).

4683113864 is an abundant number, since it is smaller than the sum of its proper divisors (5735231416).

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

4683113864 is a wasteful number, since it uses less digits than its factorization.

4683113864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40662 (or 40658 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 4683113864 is about 68433.2803831586. The cubic root of 4683113864 is about 1673.0602169378.

The spelling of 4683113864 in words is "four billion, six hundred eighty-three million, one hundred thirteen thousand, eight hundred sixty-four".