110768166144 has 360 divisors, whose sum is σ = 344037576960. Its totient is φ = 35403927552.

The previous prime is 110768166097. The next prime is 110768166163. The reversal of 110768166144 is 441661867011.

110768166144 is a `hidden beast` number, since 1 + 10 + 7 + 6 + 8 + 16 + 614 + 4 = 666.

110768166144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 110768166144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100423897 + ... + 100424999.

It is an arithmetic number, because the mean of its divisors is an integer number (955659936).

Almost surely, 2^110768166144 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 110768166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172018788480).

110768166144 is an abundant number, since it is smaller than the sum of its proper divisors (233269410816).

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

110768166144 is a wasteful number, since it uses less digits than its factorization.

110768166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 110768166144 in words is "one hundred ten billion, seven hundred sixty-eight million, one hundred sixty-six thousand, one hundred forty-four".