11105314534314 has 384 divisors, whose sum is σ = 32697837139968. Its totient is φ = 2630486638080.

The previous prime is 11105314534291. The next prime is 11105314534373. The reversal of 11105314534314 is 41343541350111.

It is a happy number.

11105314534314 is a `hidden beast` number, since 1 + 1 + 105 + 3 + 1 + 4 + 534 + 3 + 14 = 666.

11105314534314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 719108677 + ... + 719124119.

It is an arithmetic number, because the mean of its divisors is an integer number (85150617552).

Almost surely, 2^{11105314534314} is an apocalyptic number.

11105314534314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105314534314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348918569984).

11105314534314 is an abundant number, since it is smaller than the sum of its proper divisors (21592522605654).

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

11105314534314 is a wasteful number, since it uses less digits than its factorization.

11105314534314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15962 (or 15959 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 11105314534314 its reverse (41343541350111), we get a palindrome (52448855884425).

The spelling of 11105314534314 in words is "eleven trillion, one hundred five billion, three hundred fourteen million, five hundred thirty-four thousand, three hundred fourteen".