6826456314 has 48 divisors (see below), whose sum is σ = 15150687552. Its totient is φ = 2220208704.

The previous prime is 6826456313. The next prime is 6826456321. The reversal of 6826456314 is 4136546286.

6826456314 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 4 + 5 + 631 + 4 = 666.

It is a super-3 number, since 3×6826456314³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6826456314.

It is not an unprimeable number, because it can be changed into a prime (6826456313) 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, 818614 + ... + 826910.

It is an arithmetic number, because the mean of its divisors is an integer number (315639324).

Almost surely, 2^6826456314 is an apocalyptic number.

6826456314 is an abundant number, since it is smaller than the sum of its proper divisors (8324231238).

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

6826456314 is a wasteful number, since it uses less digits than its factorization.

6826456314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9408 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 6826456314 is about 82622.3717524497. The cubic root of 6826456314 is about 1896.9902777677.

The spelling of 6826456314 in words is "six billion, eight hundred twenty-six million, four hundred fifty-six thousand, three hundred fourteen".