196331548225120 has 576 divisors, whose sum is σ = 587626064363520. Its totient is φ = 60674004357120.

The previous prime is 196331548225031. The next prime is 196331548225121. The reversal of 196331548225120 is 21522845133691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196331548225121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40256620122 + ... + 40256624998.

It is an arithmetic number, because the mean of its divisors is an integer number (1020184139520).

Almost surely, 2^{196331548225120} is an apocalyptic number.

196331548225120 is a gapful number since it is divisible by the number (10) 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 196331548225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293813032181760).

196331548225120 is an abundant number, since it is smaller than the sum of its proper divisors (391294516138400).

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

196331548225120 is a wasteful number, since it uses less digits than its factorization.

196331548225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 196331548225120 in words is "one hundred ninety-six trillion, three hundred thirty-one billion, five hundred forty-eight million, two hundred twenty-five thousand, one hundred twenty".