1314441216 has 192 divisors, whose sum is σ = 4249627200. Its totient is φ = 398131200.

The previous prime is 1314441133. The next prime is 1314441217. The reversal of 1314441216 is 6121444131.

1314441216 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 441 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1314441216.

It is not an unprimeable number, because it can be changed into a prime (1314441217) 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, 607176 + ... + 609336.

It is an arithmetic number, because the mean of its divisors is an integer number (22133475).

Almost surely, 2^1314441216 is an apocalyptic number.

1314441216 is a gapful number since it is divisible by the number (16) 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 1314441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124813600).

1314441216 is an abundant number, since it is smaller than the sum of its proper divisors (2935185984).

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

1314441216 is a wasteful number, since it uses less digits than its factorization.

1314441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2177 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1314441216 is about 36255.2232926512. The cubic root of 1314441216 is about 1095.4193027320.

Adding to 1314441216 its reverse (6121444131), we get a palindrome (7435885347).

The spelling of 1314441216 in words is "one billion, three hundred fourteen million, four hundred forty-one thousand, two hundred sixteen".