6314000000 has 448 divisors, whose sum is σ = 20080992960. Its totient is φ = 1920000000.

The previous prime is 6313999969. The next prime is 6314000009. The reversal of 6314000000 is 4136.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (6314000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153999980 + ... + 154000020.

It is an arithmetic number, because the mean of its divisors is an integer number (44823645).

Almost surely, 2^6314000000 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 6314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040496480).

6314000000 is an abundant number, since it is smaller than the sum of its proper divisors (13766992960).

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

6314000000 is an frugal number, since it uses more digits than its factorization.

6314000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6314000000 is about 79460.6821012757. The cubic root of 6314000000 is about 1848.2818233011.

Adding to 6314000000 its reverse (4136), we get a palindrome (6314004136).

The spelling of 6314000000 in words is "six billion, three hundred fourteen million", and thus it is an aban number.