82196207463168 has 432 divisors, whose sum is σ = 258515544268800. Its totient is φ = 25021537320960.

The previous prime is 82196207463157. The next prime is 82196207463191. The reversal of 82196207463168 is 86136470269128.

82196207463168 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 6 + 2 + 0 + 7 + 463 + 168 = 666.

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 47 ways as a sum of consecutive naturals, for example, 348645553 + ... + 348881231.

Almost surely, 2^{82196207463168} 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 82196207463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129257772134400).

82196207463168 is an abundant number, since it is smaller than the sum of its proper divisors (176319336805632).

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

82196207463168 is a wasteful number, since it uses less digits than its factorization.

82196207463168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236008 (or 235991 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 82196207463168 in words is "eighty-two trillion, one hundred ninety-six billion, two hundred seven million, four hundred sixty-three thousand, one hundred sixty-eight".