1314371214464 has 256 divisors, whose sum is σ = 3527191008000. Its totient is φ = 481966571520.

The previous prime is 1314371214463. The next prime is 1314371214473. The reversal of 1314371214464 is 4644121734131.

It is not an unprimeable number, because it can be changed into a prime (1314371214461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8130002 + ... + 8290094.

It is an arithmetic number, because the mean of its divisors is an integer number (13778089875).

Almost surely, 2^{1314371214464} is an apocalyptic number.

1314371214464 is a gapful number since it is divisible by the number (14) 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 1314371214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763595504000).

1314371214464 is an abundant number, since it is smaller than the sum of its proper divisors (2212819793536).

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

1314371214464 is a wasteful number, since it uses less digits than its factorization.

1314371214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160156 (or 160130 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

Adding to 1314371214464 its reverse (4644121734131), we get a palindrome (5958492948595).

The spelling of 1314371214464 in words is "one trillion, three hundred fourteen billion, three hundred seventy-one million, two hundred fourteen thousand, four hundred sixty-four".