6131939328 has 192 divisors, whose sum is σ = 18297770400. Its totient is φ = 2028994560.

The previous prime is 6131939323. The next prime is 6131939329. The reversal of 6131939328 is 8239391316.

6131939328 is a `hidden beast` number, since 6 + 1 + 319 + 3 + 9 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131939323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9565888 + ... + 9566528.

Almost surely, 2^6131939328 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 6131939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148885200).

6131939328 is an abundant number, since it is smaller than the sum of its proper divisors (12165831072).

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

6131939328 is a wasteful number, since it uses less digits than its factorization.

6131939328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 819 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 6131939328 is about 78306.7004029668. The cubic root of 6131939328 is about 1830.3435635524.

It can be divided in two parts, 613193 and 9328, that added together give a square (622521 = 789²).

The spelling of 6131939328 in words is "six billion, one hundred thirty-one million, nine hundred thirty-nine thousand, three hundred twenty-eight".