6814232016 has 160 divisors (see below), whose sum is σ = 18709278720. Its totient is φ = 2133734400.

The previous prime is 6814231933. The next prime is 6814232093. The reversal of 6814232016 is 6102324186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17979315 + ... + 17979693.

It is an arithmetic number, because the mean of its divisors is an integer number (116932992).

Almost surely, 2^6814232016 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 6814232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354639360).

6814232016 is an abundant number, since it is smaller than the sum of its proper divisors (11895046704).

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

6814232016 is a wasteful number, since it uses less digits than its factorization.

6814232016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6814232016 is about 82548.3616796845. The cubic root of 6814232016 is about 1895.8572726330.

The spelling of 6814232016 in words is "six billion, eight hundred fourteen million, two hundred thirty-two thousand, sixteen".