6314116000 has 96 divisors (see below), whose sum is σ = 15668387280. Its totient is φ = 2500480000.

The previous prime is 6314115937. The next prime is 6314116037. The reversal of 6314116000 is 6114136.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3561224976 + 2752891024 = 59676^2 + 52468^2 .

It is a super-2 number, since 2×6314116000² = 79736121722912000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396186 + ... + 411814.

Almost surely, 2^6314116000 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 6314116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834193640).

6314116000 is an abundant number, since it is smaller than the sum of its proper divisors (9354271280).

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

6314116000 is a wasteful number, since it uses less digits than its factorization.

6314116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6314116000 is about 79461.4120186648. The cubic root of 6314116000 is about 1848.2931420309.

The spelling of 6314116000 in words is "six billion, three hundred fourteen million, one hundred sixteen thousand".