8256823461 has 12 divisors (see below), whose sum is σ = 11974042080. Its totient is φ = 5482617000.

The previous prime is 8256823439. The next prime is 8256823501. The reversal of 8256823461 is 1643286528.

8256823461 is a `hidden beast` number, since 8 + 2 + 568 + 23 + 4 + 61 = 666.

It is not a de Polignac number, because 8256823461 - 2⁶ = 8256823397 is a prime.

It is a super-3 number, since 3×8256823461³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256823361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1825281 + ... + 1829798.

It is an arithmetic number, because the mean of its divisors is an integer number (997836840).

Almost surely, 2^8256823461 is an apocalyptic number.

It is an amenable number.

8256823461 is a deficient number, since it is larger than the sum of its proper divisors (3717218619).

8256823461 is a wasteful number, since it uses less digits than its factorization.

8256823461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655336 (or 3655333 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 8256823461 is about 90867.0647759682. The cubic root of 8256823461 is about 2021.1769324282.

It can be divided in two parts, 825 and 6823461, that added together give a palindrome (6824286).

The spelling of 8256823461 in words is "eight billion, two hundred fifty-six million, eight hundred twenty-three thousand, four hundred sixty-one".