1114104004224 has 128 divisors (see below), whose sum is σ = 3103323969600. Its totient is φ = 353650139136.

The previous prime is 1114104004201. The next prime is 1114104004291. The reversal of 1114104004224 is 4224004014111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1114104004194 and 1114104004203.

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, 127687 + ... + 1498169.

Almost surely, 2^{1114104004224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114104004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551661984800).

1114104004224 is an abundant number, since it is smaller than the sum of its proper divisors (1989219965376).

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

1114104004224 is a wasteful number, since it uses less digits than its factorization.

1114104004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370602 (or 1370590 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1114104004224 its reverse (4224004014111), we get a palindrome (5338108018335).

The spelling of 1114104004224 in words is "one trillion, one hundred fourteen billion, one hundred four million, four thousand, two hundred twenty-four".