82143264063168 has 672 divisors, whose sum is σ = 307625018268672. Its totient is φ = 20320616448000.

The previous prime is 82143264063097. The next prime is 82143264063193. The reversal of 82143264063168 is 86136046234128.

82143264063168 is a `hidden beast` number, since 8 + 2 + 1 + 432 + 6 + 40 + 6 + 3 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237509568 + ... + 237855168.

Almost surely, 2^{82143264063168} is an apocalyptic number.

82143264063168 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 82143264063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153812509134336).

82143264063168 is an abundant number, since it is smaller than the sum of its proper divisors (225481754205504).

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

82143264063168 is a wasteful number, since it uses less digits than its factorization.

82143264063168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345893 (or 345880 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 82143264063168 in words is "eighty-two trillion, one hundred forty-three billion, two hundred sixty-four million, sixty-three thousand, one hundred sixty-eight".