82843820091648 has 5184 divisors, whose sum is σ = 356153435688960. Its totient is φ = 18884159078400.

The previous prime is 82843820091619. The next prime is 82843820091677. The reversal of 82843820091648 is 84619002834828.

82843820091648 is a `hidden beast` number, since 8 + 284 + 3 + 8 + 200 + 91 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82843820091619) and next prime (82843820091677).

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 930829439188 + ... + 930829439276.

It is an arithmetic number, because the mean of its divisors is an integer number (68702437440).

Almost surely, 2^{82843820091648} is an apocalyptic number.

82843820091648 is a gapful number since it is divisible by the number (88) 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 82843820091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178076717844480).

82843820091648 is an abundant number, since it is smaller than the sum of its proper divisors (273309615597312).

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

82843820091648 is a wasteful number, since it uses less digits than its factorization.

82843820091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 82843820091648 in words is "eighty-two trillion, eight hundred forty-three billion, eight hundred twenty million, ninety-one thousand, six hundred forty-eight".