11001114414000 has 160 divisors (see below), whose sum is σ = 39408436716480. Its totient is φ = 2933630496000.

The previous prime is 11001114413987. The next prime is 11001114414047. The reversal of 11001114414000 is 41441110011.

11001114414000 is a `hidden beast` number, since 110 + 0 + 1 + 114 + 41 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101808171 + ... + 101916170.

It is an arithmetic number, because the mean of its divisors is an integer number (246302729478).

Almost surely, 2^{11001114414000} is an apocalyptic number.

11001114414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001114414000 is an abundant number, since it is smaller than the sum of its proper divisors (28407322302480).

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

11001114414000 is a wasteful number, since it uses less digits than its factorization.

11001114414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203724373 (or 203724351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11001114414000 its reverse (41441110011), we get a palindrome (11042555524011).

The spelling of 11001114414000 in words is "eleven trillion, one billion, one hundred fourteen million, four hundred fourteen thousand".