6814346112 has 288 divisors, whose sum is σ = 23196115800. Its totient is φ = 1914071040.

The previous prime is 6814346087. The next prime is 6814346117. The reversal of 6814346112 is 2116434186.

6814346112 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 34 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814346117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3442339 + ... + 3444317.

Almost surely, 2^6814346112 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 6814346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598057900).

6814346112 is an abundant number, since it is smaller than the sum of its proper divisors (16381769688).

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

6814346112 is a wasteful number, since it uses less digits than its factorization.

6814346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2052 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6814346112 is about 82549.0527625847. The cubic root of 6814346112 is about 1895.8678538461.

The spelling of 6814346112 in words is "six billion, eight hundred fourteen million, three hundred forty-six thousand, one hundred twelve".