1314448464 has 80 divisors (see below), whose sum is σ = 3903357312. Its totient is φ = 373369344.

The previous prime is 1314448451. The next prime is 1314448501. The reversal of 1314448464 is 4648444131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46822 + ... + 69434.

Almost surely, 2^1314448464 is an apocalyptic number.

1314448464 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 1314448464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951678656).

1314448464 is an abundant number, since it is smaller than the sum of its proper divisors (2588908848).

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

1314448464 is a wasteful number, since it uses less digits than its factorization.

1314448464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22804 (or 22798 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 1314448464 is about 36255.3232505242. The cubic root of 1314448464 is about 1095.4213161565.

The spelling of 1314448464 in words is "one billion, three hundred fourteen million, four hundred forty-eight thousand, four hundred sixty-four".