108931231917792 has 288 divisors, whose sum is σ = 330266854008000. Its totient is φ = 33937908056064.

The previous prime is 108931231917779. The next prime is 108931231917797. The reversal of 108931231917792 is 297719132139801.

108931231917792 is a `hidden beast` number, since 1 + 0 + 89 + 312 + 3 + 1 + 91 + 77 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108931231917797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4170561309 + ... + 4170587427.

It is an arithmetic number, because the mean of its divisors is an integer number (1146759909750).

Almost surely, 2^{108931231917792} is an apocalyptic number.

108931231917792 is a gapful number since it is divisible by the number (12) 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 108931231917792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165133427004000).

108931231917792 is an abundant number, since it is smaller than the sum of its proper divisors (221335622090208).

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

108931231917792 is a wasteful number, since it uses less digits than its factorization.

108931231917792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32018 (or 32007 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 108931231917792 in words is "one hundred eight trillion, nine hundred thirty-one billion, two hundred thirty-one million, nine hundred seventeen thousand, seven hundred ninety-two".