110865299910816 has 384 divisors, whose sum is σ = 340219194900480. Its totient is φ = 31238955417600.

The previous prime is 110865299910787. The next prime is 110865299910817. The reversal of 110865299910816 is 618019992568011.

It is a super-2 number, since 2×110865299910816² (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 not an unprimeable number, because it can be changed into a prime (110865299910817) 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, 544795326 + ... + 544998786.

It is an arithmetic number, because the mean of its divisors is an integer number (885987486720).

Almost surely, 2^{110865299910816} is an apocalyptic number.

110865299910816 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 110865299910816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170109597450240).

110865299910816 is an abundant number, since it is smaller than the sum of its proper divisors (229353894989664).

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

110865299910816 is a wasteful number, since it uses less digits than its factorization.

110865299910816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203868 (or 203860 counting only the distinct ones).

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

The spelling of 110865299910816 in words is "one hundred ten trillion, eight hundred sixty-five billion, two hundred ninety-nine million, nine hundred ten thousand, eight hundred sixteen".