6314416416 has 144 divisors (see below), whose sum is σ = 22387555008. Its totient is φ = 1640102400.

The previous prime is 6314416397. The next prime is 6314416417. The reversal of 6314416416 is 6146144136.

6314416416 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 4 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (6314416417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120195 + ... + 164546.

It is an arithmetic number, because the mean of its divisors is an integer number (155469132).

Almost surely, 2^6314416416 is an apocalyptic number.

6314416416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6314416416 is an abundant number, since it is smaller than the sum of its proper divisors (16073138592).

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

6314416416 is a wasteful number, since it uses less digits than its factorization.

6314416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284775 (or 284764 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6314416416 is about 79463.3023225187. The cubic root of 6314416416 is about 1848.3224545547.

The spelling of 6314416416 in words is "six billion, three hundred fourteen million, four hundred sixteen thousand, four hundred sixteen".