6323131164 has 96 divisors (see below), whose sum is σ = 18120291840. Its totient is φ = 1674934272.

The previous prime is 6323131153. The next prime is 6323131183. The reversal of 6323131164 is 4611313236.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62632 + ... + 128720.

It is an arithmetic number, because the mean of its divisors is an integer number (188753040).

Almost surely, 2^6323131164 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 6323131164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060145920).

6323131164 is an abundant number, since it is smaller than the sum of its proper divisors (11797160676).

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

6323131164 is a wasteful number, since it uses less digits than its factorization.

6323131164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66187 (or 66185 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 6323131164 is about 79518.1184636558. The cubic root of 6323131164 is about 1849.1723752641.

It can be divided in two parts, 63231 and 31164, that added together give a triangular number (94395 = T₄₃₄).

The spelling of 6323131164 in words is "six billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred sixty-four".