11101111000000 has 1176 divisors, whose sum is σ = 34838194065408. Its totient is φ = 3430944000000.

The previous prime is 11101110999991. The next prime is 11101111000061. The reversal of 11101111000000 is 11110111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 58120999905 + ... + 58121000095.

Almost surely, 2^{11101111000000} is an apocalyptic number.

11101111000000 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 11101111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419097032704).

11101111000000 is an abundant number, since it is smaller than the sum of its proper divisors (23737083065408).

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

11101111000000 is an frugal number, since it uses more digits than its factorization.

11101111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 247 counting only the distinct ones).

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

Adding to 11101111000000 its reverse (11110111), we get a palindrome (11101122110111).

The spelling of 11101111000000 in words is "eleven trillion, one hundred one billion, one hundred eleven million", and thus it is an aban number.