84824164224 has 480 divisors, whose sum is σ = 270006180840. Its totient is φ = 26428446720.

The previous prime is 84824164213. The next prime is 84824164247. The reversal of 84824164224 is 42246142848.

84824164224 is a `hidden beast` number, since 8 + 4 + 8 + 2 + 416 + 4 + 224 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84824164224.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 490313002 + ... + 490313174.

Almost surely, 2^84824164224 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 84824164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135003090420).

84824164224 is an abundant number, since it is smaller than the sum of its proper divisors (185182016616).

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

84824164224 is a wasteful number, since it uses less digits than its factorization.

84824164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 328 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The spelling of 84824164224 in words is "eighty-four billion, eight hundred twenty-four million, one hundred sixty-four thousand, two hundred twenty-four".