1314564307812 has 768 divisors, whose sum is σ = 4410223820800. Its totient is φ = 330145320960.

The previous prime is 1314564307789. The next prime is 1314564307841. The reversal of 1314564307812 is 2187034654131.

1314564307812 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 564 + 3 + 0 + 7 + 81 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1202711538 + ... + 1202712630.

Almost surely, 2^{1314564307812} is an apocalyptic number.

1314564307812 is a gapful number since it is divisible by the number (12) 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 1314564307812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205111910400).

1314564307812 is an abundant number, since it is smaller than the sum of its proper divisors (3095659512988).

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

1314564307812 is a wasteful number, since it uses less digits than its factorization.

1314564307812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1314564307812 in words is "one trillion, three hundred fourteen billion, five hundred sixty-four million, three hundred seven thousand, eight hundred twelve".