84179856144384 has 5376 divisors, whose sum is σ = 369593686425600. Its totient is φ = 18446214758400.

The previous prime is 84179856144359. The next prime is 84179856144479. The reversal of 84179856144384 is 48344165897148.

84179856144384 is a `hidden beast` number, since 8 + 4 + 1 + 79 + 85 + 61 + 44 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

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 447 ways as a sum of consecutive naturals, for example, 1065567799257 + ... + 1065567799335.

It is an arithmetic number, because the mean of its divisors is an integer number (68748825600).

Almost surely, 2^{84179856144384} is an apocalyptic number.

84179856144384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84179856144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184796843212800).

84179856144384 is an abundant number, since it is smaller than the sum of its proper divisors (285413830281216).

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

84179856144384 is a wasteful number, since it uses less digits than its factorization.

84179856144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 84179856144384 in words is "eighty-four trillion, one hundred seventy-nine billion, eight hundred fifty-six million, one hundred forty-four thousand, three hundred eighty-four".