84671688256 has 21 divisors (see below), whose sum is σ = 168025000881. Its totient is φ = 42334680192.

The previous prime is 84671688253. The next prime is 84671688287. The reversal of 84671688256 is 65288617648.

The square root of 84671688256 is 290984.

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

It can be written as a sum of positive squares in only one way, i.e., 57121000000 + 27550688256 = 239000^2 + 165984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84671688194 and 84671688203.

It is not an unprimeable number, because it can be changed into a prime (84671688253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2309686 + ... + 2346058.

Almost surely, 2^84671688256 is an apocalyptic number.

84671688256 is the 290984-th square number.

It is an amenable number.

84671688256 is a deficient number, since it is larger than the sum of its proper divisors (83353312625).

84671688256 is an frugal number, since it uses more digits than its factorization.

84671688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72758 (or 36375 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 61.

The spelling of 84671688256 in words is "eighty-four billion, six hundred seventy-one million, six hundred eighty-eight thousand, two hundred fifty-six".