108765829594368 has 324 divisors, whose sum is σ = 339917891049828. Its totient is φ = 33418794516480.

The previous prime is 108765829594339. The next prime is 108765829594391. The reversal of 108765829594368 is 863495928567801.

108765829594368 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 6 + 5 + 82 + 95 + 94 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98348634399744 + 10417195194624 = 9917088^2 + 3227568^2 .

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, 29007388 + ... + 32541668.

It is a 1-persistent number, because it is pandigital, but 2⋅108765829594368 = 217531659188736 is not.

Almost surely, 2^{108765829594368} is an apocalyptic number.

108765829594368 is a gapful number since it is divisible by the number (18) 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 108765829594368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169958945524914).

108765829594368 is an abundant number, since it is smaller than the sum of its proper divisors (231152061455460).

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

108765829594368 is a wasteful number, since it uses less digits than its factorization.

108765829594368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534378 (or 3534342 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 108765829594368 in words is "one hundred eight trillion, seven hundred sixty-five billion, eight hundred twenty-nine million, five hundred ninety-four thousand, three hundred sixty-eight".