109691569118208 has 704 divisors, whose sum is σ = 377047888819200. Its totient is φ = 28100807884800.

The previous prime is 109691569118207. The next prime is 109691569118231. The reversal of 109691569118208 is 802811965196901.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×109691569118208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109691569118203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 846053068 + ... + 846182708.

Almost surely, 2^{109691569118208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109691569118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188523944409600).

109691569118208 is an abundant number, since it is smaller than the sum of its proper divisors (267356319700992).

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

109691569118208 is a wasteful number, since it uses less digits than its factorization.

109691569118208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129769 (or 129737 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 66.

The spelling of 109691569118208 in words is "one hundred nine trillion, six hundred ninety-one billion, five hundred sixty-nine million, one hundred eighteen thousand, two hundred eight".