31791108096 has 520 divisors, whose sum is σ = 107325427968. Its totient is φ = 9289728000.

The previous prime is 31791108073. The next prime is 31791108131. The reversal of 31791108096 is 69080119713.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113135476 + ... + 113135756.

Almost surely, 2^31791108096 is an apocalyptic number.

31791108096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31791108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53662713984).

31791108096 is an abundant number, since it is smaller than the sum of its proper divisors (75534319872).

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

31791108096 is a wasteful number, since it uses less digits than its factorization.

31791108096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 31791108096 in words is "thirty-one billion, seven hundred ninety-one million, one hundred eight thousand, ninety-six".