82098508431168 has 168 divisors, whose sum is σ = 238058264283840. Its totient is φ = 27048034252800.

The previous prime is 82098508431073. The next prime is 82098508431209. The reversal of 82098508431168 is 86113480589028.

82098508431168 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 8 + 508 + 4 + 3 + 116 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130460571 + ... + 131088357.

It is an arithmetic number, because the mean of its divisors is an integer number (1417013477880).

Almost surely, 2^{82098508431168} 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 82098508431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119029132141920).

82098508431168 is an abundant number, since it is smaller than the sum of its proper divisors (155959755852672).

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

82098508431168 is a wasteful number, since it uses less digits than its factorization.

82098508431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630445 (or 630432 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 82098508431168 in words is "eighty-two trillion, ninety-eight billion, five hundred eight million, four hundred thirty-one thousand, one hundred sixty-eight".