108791234361216 has 768 divisors, whose sum is σ = 367433691955200. Its totient is φ = 30548980224000.

The previous prime is 108791234361191. The next prime is 108791234361239. The reversal of 108791234361216 is 612163432197801.

108791234361216 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 9 + 1 + 2 + 3 + 4 + 3 + 612 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2170980001 + ... + 2171030111.

It is an arithmetic number, because the mean of its divisors is an integer number (478429286400).

Almost surely, 2^{108791234361216} is an apocalyptic number.

108791234361216 is a gapful number since it is divisible by the number (16) 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 108791234361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183716845977600).

108791234361216 is an abundant number, since it is smaller than the sum of its proper divisors (258642457593984).

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

108791234361216 is a wasteful number, since it uses less digits than its factorization.

108791234361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50359 (or 50344 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 108791234361216 in words is "one hundred eight trillion, seven hundred ninety-one billion, two hundred thirty-four million, three hundred sixty-one thousand, two hundred sixteen".