110968310016 has 576 divisors, whose sum is σ = 358412947200. Its totient is φ = 34159656960.

The previous prime is 110968309943. The next prime is 110968310081. The reversal of 110968310016 is 610013869011.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847086271 + ... + 847086401.

It is an arithmetic number, because the mean of its divisors is an integer number (622244700).

Almost surely, 2^110968310016 is an apocalyptic number.

110968310016 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 110968310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179206473600).

110968310016 is an abundant number, since it is smaller than the sum of its proper divisors (247444637184).

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

110968310016 is an frugal number, since it uses more digits than its factorization.

110968310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 110968310016 in words is "one hundred ten billion, nine hundred sixty-eight million, three hundred ten thousand, sixteen".