84732812406144 has 576 divisors, whose sum is σ = 283813463831040. Its totient is φ = 23769646073856.

The previous prime is 84732812406127. The next prime is 84732812406163. The reversal of 84732812406144 is 44160421823748.

84732812406144 is a `hidden beast` number, since 8 + 4 + 7 + 3 + 2 + 8 + 12 + 4 + 0 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 33320019337 + ... + 33320021879.

It is an arithmetic number, because the mean of its divisors is an integer number (492731708040).

Almost surely, 2^{84732812406144} is an apocalyptic number.

84732812406144 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 84732812406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141906731915520).

84732812406144 is an abundant number, since it is smaller than the sum of its proper divisors (199080651424896).

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

84732812406144 is a wasteful number, since it uses less digits than its factorization.

84732812406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 84732812406144 in words is "eighty-four trillion, seven hundred thirty-two billion, eight hundred twelve million, four hundred six thousand, one hundred forty-four".