110116913384351 has 16 divisors (see below), whose sum is σ = 116836035624960. Its totient is φ = 103490292517920.

The previous prime is 110116913384321. The next prime is 110116913384369. The reversal of 110116913384351 is 153483319611011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110116913384351 is a prime.

It is a super-3 number, since 3×110116913384351³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110116913384296 and 110116913384305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110116913384321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24070241 + ... + 28277381.

It is an arithmetic number, because the mean of its divisors is an integer number (7302252226560).

Almost surely, 2^{110116913384351} is an apocalyptic number.

110116913384351 is a deficient number, since it is larger than the sum of its proper divisors (6719122240609).

110116913384351 is a wasteful number, since it uses less digits than its factorization.

110116913384351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218134.

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 110116913384351 in words is "one hundred ten trillion, one hundred sixteen billion, nine hundred thirteen million, three hundred eighty-four thousand, three hundred fifty-one".