11114204334114 has 128 divisors (see below), whose sum is σ = 26606685081600. Its totient is φ = 3028826407680.

The previous prime is 11114204334113. The next prime is 11114204334119. The reversal of 11114204334114 is 41143340241111.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11114204334113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32746444 + ... + 33084104.

It is an arithmetic number, because the mean of its divisors is an integer number (207864727200).

Almost surely, 2^{11114204334114} is an apocalyptic number.

11114204334114 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 11114204334114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13303342540800).

11114204334114 is an abundant number, since it is smaller than the sum of its proper divisors (15492480747486).

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

11114204334114 is a wasteful number, since it uses less digits than its factorization.

11114204334114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338128.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 11114204334114 its reverse (41143340241111), we get a palindrome (52257544575225).

The spelling of 11114204334114 in words is "eleven trillion, one hundred fourteen billion, two hundred four million, three hundred thirty-four thousand, one hundred fourteen".