31968814321 has 8 divisors (see below), whose sum is σ = 32069834280. Its totient is φ = 31867876992.

The previous prime is 31968814309. The next prime is 31968814337. The reversal of 31968814321 is 12341886913.

It can be written as a sum of positive squares in 4 ways, for example, as 6534943921 + 25433870400 = 80839^2 + 159480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31968814321 - 2⁷ = 31968814193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31968814621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806085 + ... + 844813.

It is an arithmetic number, because the mean of its divisors is an integer number (4008729285).

Almost surely, 2^31968814321 is an apocalyptic number.

It is an amenable number.

31968814321 is a deficient number, since it is larger than the sum of its proper divisors (101019959).

31968814321 is a wasteful number, since it uses less digits than its factorization.

31968814321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41315.

The product of its digits is 248832, while the sum is 46.

The spelling of 31968814321 in words is "thirty-one billion, nine hundred sixty-eight million, eight hundred fourteen thousand, three hundred twenty-one".