1314478368 has 576 divisors, whose sum is σ = 4931297280. Its totient is φ = 335923200.

The previous prime is 1314478357. The next prime is 1314478397. The reversal of 1314478368 is 8638744131.

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

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 95 ways as a sum of consecutive naturals, for example, 32060428 + ... + 32060468.

It is an arithmetic number, because the mean of its divisors is an integer number (8561280).

Almost surely, 2^1314478368 is an apocalyptic number.

1314478368 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 1314478368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465648640).

1314478368 is an abundant number, since it is smaller than the sum of its proper divisors (3616818912).

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

1314478368 is a wasteful number, since it uses less digits than its factorization.

1314478368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1314478368 is about 36255.7356565827. The cubic root of 1314478368 is about 1095.4296231211.

The spelling of 1314478368 in words is "one billion, three hundred fourteen million, four hundred seventy-eight thousand, three hundred sixty-eight".