8254709856 has 144 divisors (see below), whose sum is σ = 24933911184. Its totient is φ = 2581512192.

The previous prime is 8254709833. The next prime is 8254709857. The reversal of 8254709856 is 6589074528.

8254709856 is a `hidden beast` number, since 8 + 2 + 547 + 0 + 98 + 5 + 6 = 666.

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

It is a super-3 number, since 3×8254709856³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8254709857) 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, 1647451 + ... + 1652453.

It is an arithmetic number, because the mean of its divisors is an integer number (173152161).

Almost surely, 2^8254709856 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 8254709856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466955592).

8254709856 is an abundant number, since it is smaller than the sum of its proper divisors (16679201328).

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

8254709856 is a wasteful number, since it uses less digits than its factorization.

8254709856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 8254709856 is about 90855.4338275923. The cubic root of 8254709856 is about 2021.0044555162.

The spelling of 8254709856 in words is "eight billion, two hundred fifty-four million, seven hundred nine thousand, eight hundred fifty-six".