110314793312064 has 1568 divisors, whose sum is σ = 378215937487872. Its totient is φ = 31603654656000.

The previous prime is 110314793312027. The next prime is 110314793312077. The reversal of 110314793312064 is 460213397413011.

110314793312064 is a `hidden beast` number, since 1 + 10 + 31 + 4 + 79 + 331 + 206 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 191186816544 + ... + 191186817120.

Almost surely, 2^{110314793312064} 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 110314793312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189107968743936).

110314793312064 is an abundant number, since it is smaller than the sum of its proper divisors (267901144175808).

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

110314793312064 is a wasteful number, since it uses less digits than its factorization.

110314793312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 110314793312064 in words is "one hundred ten trillion, three hundred fourteen billion, seven hundred ninety-three million, three hundred twelve thousand, sixty-four".