11114114000 has 80 divisors (see below), whose sum is σ = 29317070016. Its totient is φ = 4041488000.

The previous prime is 11114113999. The next prime is 11114114023. The reversal of 11114114000 is 41141111.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 230594 + ... + 274593.

Almost surely, 2^11114114000 is an apocalyptic number.

11114114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11114114000 is an abundant number, since it is smaller than the sum of its proper divisors (18202956016).

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

11114114000 is a wasteful number, since it uses less digits than its factorization.

11114114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505221 (or 505205 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11114114000 its reverse (41141111), we get a palindrome (11155255111).

The spelling of 11114114000 in words is "eleven billion, one hundred fourteen million, one hundred fourteen thousand".