1314398046784 has 63 divisors (see below), whose sum is σ = 2629708707171. Its totient is φ = 651838120320.

The previous prime is 1314398046779. The next prime is 1314398046803. The reversal of 1314398046784 is 4876408934131.

It is a happy number.

The square root of 1314398046784 is 1146472.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1274876349 + ... + 1274877379.

Almost surely, 2^{1314398046784} is an apocalyptic number.

1314398046784 is the 1146472-nd square number.

It is an amenable number.

1314398046784 is an abundant number, since it is smaller than the sum of its proper divisors (1315310660387).

1314398046784 is an frugal number, since it uses more digits than its factorization.

1314398046784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 1314398046784 in words is "one trillion, three hundred fourteen billion, three hundred ninety-eight million, forty-six thousand, seven hundred eighty-four".