84786223712256 has 288 divisors, whose sum is σ = 267652910921760. Its totient is φ = 25643448729600.

The previous prime is 84786223712189. The next prime is 84786223712293. The reversal of 84786223712256 is 65221732268748.

It is a happy number.

84786223712256 is a `hidden beast` number, since 8 + 4 + 7 + 8 + 6 + 2 + 2 + 371 + 2 + 256 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84786223712193 and 84786223712202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 105232471 + ... + 106035113.

It is an arithmetic number, because the mean of its divisors is an integer number (929350385145).

Almost surely, 2^{84786223712256} 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 84786223712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133826455460880).

84786223712256 is an abundant number, since it is smaller than the sum of its proper divisors (182866687209504).

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

84786223712256 is a wasteful number, since it uses less digits than its factorization.

84786223712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803203 (or 803180 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 84786223712256 in words is "eighty-four trillion, seven hundred eighty-six billion, two hundred twenty-three million, seven hundred twelve thousand, two hundred fifty-six".