11111110000000 has 256 divisors, whose sum is σ = 27790944480000. Its totient is φ = 4424896000000.

The previous prime is 11111109999991. The next prime is 11111110000009. The reversal of 11111110000000 is 1111111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11111109999991) and next prime (11111110000009).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111110000009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389997676 + ... + 2390002324.

It is an arithmetic number, because the mean of its divisors is an integer number (108558376875).

Almost surely, 2^{11111110000000} is an apocalyptic number.

11111110000000 is a gapful number since it is divisible by the number (10) 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 11111110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13895472240000).

11111110000000 is an abundant number, since it is smaller than the sum of its proper divisors (16679834480000).

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

11111110000000 is an frugal number, since it uses more digits than its factorization.

11111110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11111110000000 its reverse (1111111), we get a palindrome (11111111111111).

Subtracting from 11111110000000 its reverse (1111111), we obtain a square (11111108888889 = 3333333²).

11111110000000 divided by its reverse (1111111) gives a 7-th power (10000000 = 10⁷).

The spelling of 11111110000000 in words is "eleven trillion, one hundred eleven billion, one hundred ten million", and thus it is an aban number.