1314413568 has 440 divisors, whose sum is σ = 4494032928. Its totient is φ = 379551744.

The previous prime is 1314413561. The next prime is 1314413579. The reversal of 1314413568 is 8653144131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314413561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24800230 + ... + 24800282.

Almost surely, 2^1314413568 is an apocalyptic number.

1314413568 is a gapful number since it is divisible by the number (18) 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 1314413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247016464).

1314413568 is an abundant number, since it is smaller than the sum of its proper divisors (3179619360).

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

1314413568 is a wasteful number, since it uses less digits than its factorization.

1314413568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1314413568 is about 36254.8419938634. The cubic root of 1314413568 is about 1095.4116223162.

Adding to 1314413568 its reverse (8653144131), we get a palindrome (9967557699).

The spelling of 1314413568 in words is "one billion, three hundred fourteen million, four hundred thirteen thousand, five hundred sixty-eight".