110308627968 has 480 divisors, whose sum is σ = 379793905920. Its totient is φ = 27638661120.

The previous prime is 110308627963. The next prime is 110308627993. The reversal of 110308627968 is 869726803011.

It is a self number, because there is not a number n which added to its sum of digits gives 110308627968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110308627963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99466198 + ... + 99467306.

It is an arithmetic number, because the mean of its divisors is an integer number (791237304).

Almost surely, 2^110308627968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110308627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189896952960).

110308627968 is an abundant number, since it is smaller than the sum of its proper divisors (269485277952).

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

110308627968 is a wasteful number, since it uses less digits than its factorization.

110308627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 110308627968 in words is "one hundred ten billion, three hundred eight million, six hundred twenty-seven thousand, nine hundred sixty-eight".