1314234144 has 72 divisors (see below), whose sum is σ = 3751780032. Its totient is φ = 436387200.

The previous prime is 1314234139. The next prime is 1314234149. The reversal of 1314234144 is 4414324131.

1314234144 is a `hidden beast` number, since 1 + 314 + 2 + 341 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1314234139) and next prime (1314234149).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1314234144² = 3454422770510825472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1314234149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67069 + ... + 84419.

It is an arithmetic number, because the mean of its divisors is an integer number (52108056).

Almost surely, 2^1314234144 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 1314234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875890016).

1314234144 is an abundant number, since it is smaller than the sum of its proper divisors (2437545888).

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

1314234144 is a wasteful number, since it uses less digits than its factorization.

1314234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17630 (or 17619 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1314234144 is about 36252.3674261420. The cubic root of 1314234144 is about 1095.3617770003.

Adding to 1314234144 its reverse (4414324131), we get a palindrome (5728558275).

The spelling of 1314234144 in words is "one billion, three hundred fourteen million, two hundred thirty-four thousand, one hundred forty-four".