82821321648 has 180 divisors, whose sum is σ = 254526088752. Its totient is φ = 25124037120.

The previous prime is 82821321641. The next prime is 82821321673. The reversal of 82821321648 is 84612312828.

82821321648 is a `hidden beast` number, since 8 + 282 + 1 + 321 + 6 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82821321641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1703890 + ... + 1751822.

Almost surely, 2^82821321648 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 82821321648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127263044376).

82821321648 is an abundant number, since it is smaller than the sum of its proper divisors (171704767104).

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

82821321648 is a wasteful number, since it uses less digits than its factorization.

82821321648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48044 (or 48022 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 82821321648 in words is "eighty-two billion, eight hundred twenty-one million, three hundred twenty-one thousand, six hundred forty-eight".