11110001114000 has 40 divisors (see below), whose sum is σ = 26863982698488. Its totient is φ = 4444000444800.

The previous prime is 11110001113969. The next prime is 11110001114011. The reversal of 11110001114000 is 41110001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 185892047104 + 10924109066896 = 431152^2 + 3305164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2777498279 + ... + 2777502278.

Almost surely, 2^{11110001114000} is an apocalyptic number.

11110001114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110001114000 is an abundant number, since it is smaller than the sum of its proper divisors (15753981584488).

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

11110001114000 is an equidigital number, since it uses as much as digits as its factorization.

11110001114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555000580 (or 5555000564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11110001114000 its reverse (41110001111), we get a palindrome (11151111115111).

The spelling of 11110001114000 in words is "eleven trillion, one hundred ten billion, one million, one hundred fourteen thousand".