110891087365968 has 540 divisors, whose sum is σ = 394374923595900. Its totient is φ = 28987151671296.

The previous prime is 110891087365951. The next prime is 110891087365973. The reversal of 110891087365968 is 869563780198011.

110891087365968 is a `hidden beast` number, since 1 + 10 + 8 + 9 + 10 + 8 + 7 + 3 + 6 + 596 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36524472428304 + 74366614937664 = 6043548^2 + 8623608^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 110891087365896 and 110891087365905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 134336958 + ... + 135159906.

It is an arithmetic number, because the mean of its divisors is an integer number (730323932585).

Almost surely, 2^{110891087365968} is an apocalyptic number.

110891087365968 is a gapful number since it is divisible by the number (18) 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 110891087365968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197187461797950).

110891087365968 is an abundant number, since it is smaller than the sum of its proper divisors (283483836229932).

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

110891087365968 is a wasteful number, since it uses less digits than its factorization.

110891087365968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823116 (or 823087 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 110891087365968 in words is "one hundred ten trillion, eight hundred ninety-one billion, eighty-seven million, three hundred sixty-five thousand, nine hundred sixty-eight".