1314285984 has 144 divisors (see below), whose sum is σ = 4090020480. Its totient is φ = 397025280.

The previous prime is 1314285979. The next prime is 1314286009. The reversal of 1314285984 is 4895824131.

1314285984 is a `hidden beast` number, since 1 + 31 + 4 + 28 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827577 + ... + 1828295.

It is an arithmetic number, because the mean of its divisors is an integer number (28402920).

Almost surely, 2^1314285984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314285984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045010240).

1314285984 is an abundant number, since it is smaller than the sum of its proper divisors (2775734496).

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

1314285984 is a wasteful number, since it uses less digits than its factorization.

1314285984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1314285984 is about 36253.0824068796. The cubic root of 1314285984 is about 1095.3761790022.

The spelling of 1314285984 in words is "one billion, three hundred fourteen million, two hundred eighty-five thousand, nine hundred eighty-four".