109517886016 has 336 divisors, whose sum is σ = 290222513280. Its totient is φ = 40023244800.

The previous prime is 109517885999. The next prime is 109517886029. The reversal of 109517886016 is 610688715901.

It is a super-3 number, since 3×109517886016³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116384106 + ... + 116385046.

It is an arithmetic number, because the mean of its divisors is an integer number (863757480).

Almost surely, 2^109517886016 is an apocalyptic number.

109517886016 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 109517886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145111256640).

109517886016 is an abundant number, since it is smaller than the sum of its proper divisors (180704627264).

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

109517886016 is a wasteful number, since it uses less digits than its factorization.

109517886016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 52.

The spelling of 109517886016 in words is "one hundred nine billion, five hundred seventeen million, eight hundred eighty-six thousand, sixteen".