110114797765872 has 640 divisors, whose sum is σ = 329129105817600. Its totient is φ = 31536302054400.

The previous prime is 110114797765829. The next prime is 110114797765949. The reversal of 110114797765872 is 278567797411011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6729491163 + ... + 6729507525.

It is an arithmetic number, because the mean of its divisors is an integer number (514264227840).

Almost surely, 2^{110114797765872} is an apocalyptic number.

110114797765872 is a gapful number since it is divisible by the number (12) 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 110114797765872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164564552908800).

110114797765872 is an abundant number, since it is smaller than the sum of its proper divisors (219014308051728).

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

110114797765872 is a wasteful number, since it uses less digits than its factorization.

110114797765872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657 (or 16651 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 66.

The spelling of 110114797765872 in words is "one hundred ten trillion, one hundred fourteen billion, seven hundred ninety-seven million, seven hundred sixty-five thousand, eight hundred seventy-two".