856261518336 has 1089 divisors, whose sum is σ = 3172724983569. Its totient is φ = 230255198208.

The previous prime is 856261518317. The next prime is 856261518347. The reversal of 856261518336 is 633815162658.

It is a happy number.

The square root of 856261518336 is 925344.

It is a perfect power (a square), and thus also a powerful number.

856261518336 is a `hidden beast` number, since 8 + 5 + 6 + 2 + 615 + 18 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 666639590400 + 189621927936 = 816480^2 + 435456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 50368324600 + ... + 50368324616.

Almost surely, 2^856261518336 is an apocalyptic number.

856261518336 is the 925344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856261518336

856261518336 is an abundant number, since it is smaller than the sum of its proper divisors (2316463465233).

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

856261518336 is an frugal number, since it uses more digits than its factorization.

856261518336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 29 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 856261518336 in words is "eight hundred fifty-six billion, two hundred sixty-one million, five hundred eighteen thousand, three hundred thirty-six".