8781641856 has 288 divisors, whose sum is σ = 28923176100. Its totient is φ = 2541846528.

The previous prime is 8781641831. The next prime is 8781641857. The reversal of 8781641856 is 6581461878.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7821633600 + 960008256 = 88440^2 + 30984^2 .

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

It is a super-2 number, since 2×8781641856² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8781641857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4327050 + ... + 4329078.

Almost surely, 2^8781641856 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 8781641856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461588050).

8781641856 is an abundant number, since it is smaller than the sum of its proper divisors (20141534244).

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

8781641856 is a wasteful number, since it uses less digits than its factorization.

8781641856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2064 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 8781641856 is about 93710.4148747619. The cubic root of 8781641856 is about 2063.1235687648.

The spelling of 8781641856 in words is "eight billion, seven hundred eighty-one million, six hundred forty-one thousand, eight hundred fifty-six".