110617604811616 has 192 divisors, whose sum is σ = 256042684800000. Its totient is φ = 46065235507200.

The previous prime is 110617604811601. The next prime is 110617604811617. The reversal of 110617604811616 is 616118406716011.

It is a self number, because there is not a number n which added to its sum of digits gives 110617604811616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110617604811617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799485610 + ... + 799623958.

It is an arithmetic number, because the mean of its divisors is an integer number (1333555650000).

Almost surely, 2^{110617604811616} is an apocalyptic number.

110617604811616 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 110617604811616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128021342400000).

110617604811616 is an abundant number, since it is smaller than the sum of its proper divisors (145425079988384).

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

110617604811616 is a wasteful number, since it uses less digits than its factorization.

110617604811616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139125 (or 139117 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The spelling of 110617604811616 in words is "one hundred ten trillion, six hundred seventeen billion, six hundred four million, eight hundred eleven thousand, six hundred sixteen".