1314321064 has 64 divisors (see below), whose sum is σ = 2921443200. Its totient is φ = 542379264.

The previous prime is 1314321061. The next prime is 1314321121. The reversal of 1314321064 is 4601234131.

It is not an unprimeable number, because it can be changed into a prime (1314321061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757542 + ... + 759274.

It is an arithmetic number, because the mean of its divisors is an integer number (45647550).

Almost surely, 2^1314321064 is an apocalyptic number.

1314321064 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 1314321064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460721600).

1314321064 is an abundant number, since it is smaller than the sum of its proper divisors (1607122136).

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

1314321064 is a wasteful number, since it uses less digits than its factorization.

1314321064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1314321064 is about 36253.5662245799. The cubic root of 1314321064 is about 1095.3859245865.

Adding to 1314321064 its reverse (4601234131), we get a palindrome (5915555195).

It can be divided in two parts, 131432 and 1064, that added together give a square (132496 = 364²).

The spelling of 1314321064 in words is "one billion, three hundred fourteen million, three hundred twenty-one thousand, sixty-four".