110693729077968 has 160 divisors (see below), whose sum is σ = 295650539154432. Its totient is φ = 35651156889600.

The previous prime is 110693729077949. The next prime is 110693729078087. The reversal of 110693729077968 is 869770927396011.

It is a self number, because there is not a number n which added to its sum of digits gives 110693729077968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5087718546 + ... + 5087740302.

Almost surely, 2^{110693729077968} 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 110693729077968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147825269577216).

110693729077968 is an abundant number, since it is smaller than the sum of its proper divisors (184956810076464).

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

110693729077968 is a wasteful number, since it uses less digits than its factorization.

110693729077968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27053 (or 27047 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 75.

The spelling of 110693729077968 in words is "one hundred ten trillion, six hundred ninety-three billion, seven hundred twenty-nine million, seventy-seven thousand, nine hundred sixty-eight".