110110963397968 has 640 divisors, whose sum is σ = 251412228587520. Its totient is φ = 46329034752000.

The previous prime is 110110963397959. The next prime is 110110963397993. The reversal of 110110963397968 is 869793369011011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354054544533 + ... + 354054544843.

It is an arithmetic number, because the mean of its divisors is an integer number (392831607168).

Almost surely, 2^{110110963397968} 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 110110963397968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706114293760).

110110963397968 is an abundant number, since it is smaller than the sum of its proper divisors (141301265189552).

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

110110963397968 is a wasteful number, since it uses less digits than its factorization.

110110963397968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 64.

The spelling of 110110963397968 in words is "one hundred ten trillion, one hundred ten billion, nine hundred sixty-three million, three hundred ninety-seven thousand, nine hundred sixty-eight".