84456316956672 has 312 divisors, whose sum is σ = 253286236030464. Its totient is φ = 28119198449664.

The previous prime is 84456316956647. The next prime is 84456316956691. The reversal of 84456316956672 is 27665961365448.

84456316956672 is a `hidden beast` number, since 8 + 4 + 4 + 56 + 3 + 1 + 6 + 9 + 566 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 84456316956672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858918903 + ... + 859017225.

It is an arithmetic number, because the mean of its divisors is an integer number (811814859072).

Almost surely, 2^{84456316956672} 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 84456316956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126643118015232).

84456316956672 is an abundant number, since it is smaller than the sum of its proper divisors (168829919073792).

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

84456316956672 is an frugal number, since it uses more digits than its factorization.

84456316956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99225 (or 99191 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 84456316956672 in words is "eighty-four trillion, four hundred fifty-six billion, three hundred sixteen million, nine hundred fifty-six thousand, six hundred seventy-two".