109584117216 has 240 divisors, whose sum is σ = 370982747520. Its totient is φ = 31083782400.

The previous prime is 109584117193. The next prime is 109584117257. The reversal of 109584117216 is 612711485901.

109584117216 is a `hidden beast` number, since 10 + 9 + 5 + 8 + 411 + 7 + 216 = 666.

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 39 ways as a sum of consecutive naturals, for example, 2500291 + ... + 2543741.

It is an arithmetic number, because the mean of its divisors is an integer number (1545761448).

Almost surely, 2^109584117216 is an apocalyptic number.

109584117216 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 109584117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185491373760).

109584117216 is an abundant number, since it is smaller than the sum of its proper divisors (261398630304).

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

109584117216 is a wasteful number, since it uses less digits than its factorization.

109584117216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43619 (or 43602 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 109584117216 in words is "one hundred nine billion, five hundred eighty-four million, one hundred seventeen thousand, two hundred sixteen".