84814459817472 has 1600 divisors, whose sum is σ = 334731730798080. Its totient is φ = 20699637350400.

The previous prime is 84814459817471. The next prime is 84814459817473. The reversal of 84814459817472 is 27471895441848.

84814459817472 is a `hidden beast` number, since 8 + 4 + 8 + 1 + 445 + 9 + 8 + 174 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (84814459817471) and next prime (84814459817473).

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 84814459817472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84814459817471) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52712528604 + ... + 52712530212.

Almost surely, 2^{84814459817472} 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 84814459817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167365865399040).

84814459817472 is an abundant number, since it is smaller than the sum of its proper divisors (249917270980608).

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

84814459817472 is a wasteful number, since it uses less digits than its factorization.

84814459817472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2620 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 84814459817472 in words is "eighty-four trillion, eight hundred fourteen billion, four hundred fifty-nine million, eight hundred seventeen thousand, four hundred seventy-two".