1314432000224 has 24 divisors (see below), whose sum is σ = 2957472001008. Its totient is φ = 563328000000.

The previous prime is 1314432000199. The next prime is 1314432000257. The reversal of 1314432000224 is 4220002344131.

It is a junction number, because it is equal to n+sod(n) for n = 1314432000193 and 1314432000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2933999777 + ... + 2934000224.

It is an arithmetic number, because the mean of its divisors is an integer number (123228000042).

Almost surely, 2^{1314432000224} is an apocalyptic number.

1314432000224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314432000224 is an abundant number, since it is smaller than the sum of its proper divisors (1643040000784).

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

1314432000224 is an equidigital number, since it uses as much as digits as its factorization.

1314432000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868000018 (or 5868000010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1314432000224 its reverse (4220002344131), we get a palindrome (5534434344355).

The spelling of 1314432000224 in words is "one trillion, three hundred fourteen billion, four hundred thirty-two million, two hundred twenty-four", and thus it is an aban number.