1314000242816 has 32 divisors (see below), whose sum is σ = 2617787022300. Its totient is φ = 656987029504.

The previous prime is 1314000242801. The next prime is 1314000242837. The reversal of 1314000242816 is 6182420004131.

It can be written as a sum of positive squares in 2 ways, for example, as 1069371082816 + 244629160000 = 1034104^2 + 494600^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11242856 + ... + 11359128.

Almost surely, 2^{1314000242816} is an apocalyptic number.

1314000242816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1314000242816 is a deficient number, since it is larger than the sum of its proper divisors (1303786779484).

1314000242816 is an equidigital number, since it uses as much as digits as its factorization.

1314000242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204576 (or 204564 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 1314000242816 its reverse (6182420004131), we get a palindrome (7496420246947).

The spelling of 1314000242816 in words is "one trillion, three hundred fourteen billion, two hundred forty-two thousand, eight hundred sixteen".