82384501248 has 600 divisors, whose sum is σ = 290579107104. Its totient is φ = 23166259200.

The previous prime is 82384501223. The next prime is 82384501273. The reversal of 82384501248 is 84210548328.

82384501248 is a `hidden beast` number, since 8 + 23 + 84 + 501 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (82384501223) and next prime (82384501273).

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, 144280803 + ... + 144281373.

Almost surely, 2^82384501248 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 82384501248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145289553552).

82384501248 is an abundant number, since it is smaller than the sum of its proper divisors (208194605856).

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

82384501248 is an equidigital number, since it uses as much as digits as its factorization.

82384501248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 82384501248 in words is "eighty-two billion, three hundred eighty-four million, five hundred one thousand, two hundred forty-eight".