11314000224 has 72 divisors (see below), whose sum is σ = 33867582840. Its totient is φ = 3572840448.

The previous prime is 11314000147. The next prime is 11314000249. The reversal of 11314000224 is 42200041311.

11314000224 is a `hidden beast` number, since 11 + 31 + 400 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 11314000197 and 11314000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1028337 + ... + 1039280.

It is an arithmetic number, because the mean of its divisors is an integer number (470383095).

Almost surely, 2^11314000224 is an apocalyptic number.

It is an amenable number.

11314000224 is an abundant number, since it is smaller than the sum of its proper divisors (22553582616).

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

11314000224 is a wasteful number, since it uses less digits than its factorization.

11314000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067652 (or 2067641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11314000224 its reverse (42200041311), we get a palindrome (53514041535).

The spelling of 11314000224 in words is "eleven billion, three hundred fourteen million, two hundred twenty-four", and thus it is an aban number.