6313883136 has 160 divisors (see below), whose sum is σ = 18517707648. Its totient is φ = 1895792640.

The previous prime is 6313883129. The next prime is 6313883143.

6313883136 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6313883129) and next prime (6313883143).

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

It is a congruent number.

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, 1907595 + ... + 1910901.

Almost surely, 2^6313883136 is an apocalyptic number.

6313883136 is a gapful number since it is divisible by the number (66) 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 6313883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258853824).

6313883136 is an abundant number, since it is smaller than the sum of its proper divisors (12203824512).

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

6313883136 is a wasteful number, since it uses less digits than its factorization.

6313883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3436 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6313883136 is about 79459.9467404805. The cubic root of 6313883136 is about 1848.2704201262.

The spelling of 6313883136 in words is "six billion, three hundred thirteen million, eight hundred eighty-three thousand, one hundred thirty-six".