1314214224224 has 96 divisors (see below), whose sum is σ = 3145902883200. Its totient is φ = 532639549440.

The previous prime is 1314214224203. The next prime is 1314214224227. The reversal of 1314214224224 is 4224224124131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314214224227) by changing a digit.

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, 5665814 + ... + 5893205.

It is an arithmetic number, because the mean of its divisors is an integer number (32769821700).

Almost surely, 2^{1314214224224} is an apocalyptic number.

It is an amenable number.

1314214224224 is an abundant number, since it is smaller than the sum of its proper divisors (1831688658976).

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

1314214224224 is a wasteful number, since it uses less digits than its factorization.

1314214224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559076 (or 11559068 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

Adding to 1314214224224 its reverse (4224224124131), we get a palindrome (5538438348355).

The spelling of 1314214224224 in words is "one trillion, three hundred fourteen billion, two hundred fourteen million, two hundred twenty-four thousand, two hundred twenty-four".