196082048765136 has 320 divisors, whose sum is σ = 542496135168000. Its totient is φ = 60851698716672.

The previous prime is 196082048765087. The next prime is 196082048765137. The reversal of 196082048765136 is 631567840280691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196082048765137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16697775681 + ... + 16697787423.

It is an arithmetic number, because the mean of its divisors is an integer number (1695300422400).

It is a 1-persistent number, because it is pandigital, but 2⋅196082048765136 = 392164097530272 is not.

Almost surely, 2^{196082048765136} is an apocalyptic number.

196082048765136 is a gapful number since it is divisible by the number (16) 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 196082048765136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271248067584000).

196082048765136 is an abundant number, since it is smaller than the sum of its proper divisors (346414086402864).

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

196082048765136 is a wasteful number, since it uses less digits than its factorization.

196082048765136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 196082048765136 in words is "one hundred ninety-six trillion, eighty-two billion, forty-eight million, seven hundred sixty-five thousand, one hundred thirty-six".