111070866816 has 576 divisors, whose sum is σ = 413030048400. Its totient is φ = 29285867520.

The previous prime is 111070866811. The next prime is 111070866821. The reversal of 111070866816 is 618668070111.

It is an interprime number because it is at equal distance from previous prime (111070866811) and next prime (111070866821).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111070866811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28617196 + ... + 28621076.

Almost surely, 2^111070866816 is an apocalyptic number.

111070866816 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 111070866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206515024200).

111070866816 is an abundant number, since it is smaller than the sum of its proper divisors (301959181584).

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

111070866816 is a wasteful number, since it uses less digits than its factorization.

111070866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 111070866816 in words is "one hundred eleven billion, seventy million, eight hundred sixty-six thousand, eight hundred sixteen".