6314643456 has 312 divisors, whose sum is σ = 19243214592. Its totient is φ = 1838284800.

The previous prime is 6314643451. The next prime is 6314643479. The reversal of 6314643456 is 6543464136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6314643451) 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 23 ways as a sum of consecutive naturals, for example, 46092220 + ... + 46092356.

Almost surely, 2^6314643456 is an apocalyptic number.

6314643456 is a gapful number since it is divisible by the number (66) 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 6314643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9621607296).

6314643456 is an abundant number, since it is smaller than the sum of its proper divisors (12928571136).

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

6314643456 is a wasteful number, since it uses less digits than its factorization.

6314643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 6314643456 is about 79464.7308936487. The cubic root of 6314643456 is about 1848.3446069370.

The spelling of 6314643456 in words is "six billion, three hundred fourteen million, six hundred forty-three thousand, four hundred fifty-six".