196431240128448 has 448 divisors, whose sum is σ = 600540430331520. Its totient is φ = 56216788992000.

The previous prime is 196431240128429. The next prime is 196431240128531. The reversal of 196431240128448 is 844821042134691.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 270135918 + ... + 270862098.

It is an arithmetic number, because the mean of its divisors is an integer number (1340492031990).

Almost surely, 2^{196431240128448} 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 196431240128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300270215165760).

196431240128448 is an abundant number, since it is smaller than the sum of its proper divisors (404109190203072).

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

196431240128448 is a wasteful number, since it uses less digits than its factorization.

196431240128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726376 (or 726366 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 196431240128448 in words is "one hundred ninety-six trillion, four hundred thirty-one billion, two hundred forty million, one hundred twenty-eight thousand, four hundred forty-eight".