31999129344 has 324 divisors, whose sum is σ = 115585489656. Its totient is φ = 8438943744.

The previous prime is 31999129313. The next prime is 31999129369. The reversal of 31999129344 is 44392199913.

31999129344 is a `hidden beast` number, since 3 + 199 + 91 + 29 + 344 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1456747 + ... + 1478549.

Almost surely, 2^31999129344 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 31999129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57792744828).

31999129344 is an abundant number, since it is smaller than the sum of its proper divisors (83586360312).

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

31999129344 is a wasteful number, since it uses less digits than its factorization.

31999129344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21852 (or 21828 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The spelling of 31999129344 in words is "thirty-one billion, nine hundred ninety-nine million, one hundred twenty-nine thousand, three hundred forty-four".