6631131416 has 192 divisors, whose sum is σ = 16372497600. Its totient is φ = 2460616704.

The previous prime is 6631131389. The next prime is 6631131421. The reversal of 6631131416 is 6141311366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10154546 + ... + 10155198.

It is an arithmetic number, because the mean of its divisors is an integer number (85273425).

Almost surely, 2^6631131416 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 6631131416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186248800).

6631131416 is an abundant number, since it is smaller than the sum of its proper divisors (9741366184).

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

6631131416 is a wasteful number, since it uses less digits than its factorization.

6631131416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 741 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 6631131416 is about 81431.7592589034. The cubic root of 6631131416 is about 1878.7221035024.

The spelling of 6631131416 in words is "six billion, six hundred thirty-one million, one hundred thirty-one thousand, four hundred sixteen".