314848512 has 288 divisors, whose sum is σ = 1050779520. Its totient is φ = 92160000.

The previous prime is 314848459. The next prime is 314848519. The reversal of 314848512 is 215848413.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×314848512² = 198259171017228288, which contains 22 as substring.

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 (314848519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117262 + ... + 3117362.

It is an arithmetic number, because the mean of its divisors is an integer number (3648540).

Almost surely, 2^314848512 is an apocalyptic number.

314848512 is a gapful number since it is divisible by the number (32) 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 314848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525389760).

314848512 is an abundant number, since it is smaller than the sum of its proper divisors (735931008).

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

314848512 is a wasteful number, since it uses less digits than its factorization.

314848512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 314848512 is about 17743.9711451524. The cubic root of 314848512 is about 680.3001212691.

Subtracting from 314848512 its reverse (215848413), we obtain a palindrome (99000099).

The spelling of 314848512 in words is "three hundred fourteen million, eight hundred forty-eight thousand, five hundred twelve".