196171961832 has 384 divisors, whose sum is σ = 710635161600. Its totient is φ = 49195641600.

The previous prime is 196171961827. The next prime is 196171961837. The reversal of 196171961832 is 238169171691.

196171961832 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 7 + 19 + 618 + 3 + 2 = 666.

196171961832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196171961827) and next prime (196171961837).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (196171961837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4318357 + ... + 4363547.

It is an arithmetic number, because the mean of its divisors is an integer number (1850612400).

Almost surely, 2^196171961832 is an apocalyptic number.

196171961832 is a gapful number since it is divisible by the number (12) 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 196171961832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355317580800).

196171961832 is an abundant number, since it is smaller than the sum of its proper divisors (514463199768).

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

196171961832 is a wasteful number, since it uses less digits than its factorization.

196171961832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45259 (or 45243 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 196171961832 in words is "one hundred ninety-six billion, one hundred seventy-one million, nine hundred sixty-one thousand, eight hundred thirty-two".