82449883653984 has 1152 divisors, whose sum is σ = 322386213542400. Its totient is φ = 20215609344000.

The previous prime is 82449883653983. The next prime is 82449883654031. The reversal of 82449883653984 is 48935638894428.

82449883653984 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 98 + 83 + 65 + 398 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82449883653983) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2486334364 + ... + 2486367524.

It is an arithmetic number, because the mean of its divisors is an integer number (279849143700).

Almost surely, 2^{82449883653984} is an apocalyptic number.

82449883653984 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 82449883653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161193106771200).

82449883653984 is an abundant number, since it is smaller than the sum of its proper divisors (239936329888416).

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

82449883653984 is a wasteful number, since it uses less digits than its factorization.

82449883653984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33505 (or 33484 counting only the distinct ones).

The product of its digits is 11466178560, while the sum is 81.

The spelling of 82449883653984 in words is "eighty-two trillion, four hundred forty-nine billion, eight hundred eighty-three million, six hundred fifty-three thousand, nine hundred eighty-four".