196071138432 has 256 divisors, whose sum is σ = 623913763200. Its totient is φ = 60260143104.

The previous prime is 196071138421. The next prime is 196071138437. The reversal of 196071138432 is 234831170691.

196071138432 is a `hidden beast` number, since 1 + 9 + 607 + 1 + 1 + 3 + 8 + 4 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (196071138437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50182623 + ... + 50186529.

Almost surely, 2^196071138432 is an apocalyptic number.

196071138432 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 196071138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311956881600).

196071138432 is an abundant number, since it is smaller than the sum of its proper divisors (427842624768).

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

196071138432 is a wasteful number, since it uses less digits than its factorization.

196071138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 196071138432 in words is "one hundred ninety-six billion, seventy-one million, one hundred thirty-eight thousand, four hundred thirty-two".