110068122314304 has 2520 divisors, whose sum is σ = 433183288876800. Its totient is φ = 27504271872000.

The previous prime is 110068122314303. The next prime is 110068122314309. The reversal of 110068122314304 is 403413221860011.

110068122314304 is a `hidden beast` number, since 1 + 10 + 0 + 6 + 8 + 1 + 22 + 314 + 304 = 666.

It is a super-2 number, since 2×110068122314304² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (110068122314303) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 315381439122 + ... + 315381439470.

Almost surely, 2^{110068122314304} is an apocalyptic number.

110068122314304 is a gapful number since it is divisible by the number (14) 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 110068122314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216591644438400).

110068122314304 is an abundant number, since it is smaller than the sum of its proper divisors (323115166562496).

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

110068122314304 is a wasteful number, since it uses less digits than its factorization.

110068122314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 110068122314304 in words is "one hundred ten trillion, sixty-eight billion, one hundred twenty-two million, three hundred fourteen thousand, three hundred four".