1314237946560 has 896 divisors, whose sum is σ = 5513296527360. Its totient is φ = 256960512000.

The previous prime is 1314237946519. The next prime is 1314237946643. The reversal of 1314237946560 is 656497324131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212073382 + ... + 212079578.

Almost surely, 2^{1314237946560} is an apocalyptic number.

1314237946560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314237946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756648263680).

1314237946560 is an abundant number, since it is smaller than the sum of its proper divisors (4199058580800).

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

1314237946560 is a wasteful number, since it uses less digits than its factorization.

1314237946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1314237946560 in words is "one trillion, three hundred fourteen billion, two hundred thirty-seven million, nine hundred forty-six thousand, five hundred sixty".