196982909203600 has 405 divisors, whose sum is σ = 535933456834923. Its totient is φ = 69540241605120.

The previous prime is 196982909203579. The next prime is 196982909203603. The reversal of 196982909203600 is 6302909289691.

It is a happy number.

The square root of 196982909203600 is 14035060.

It is a perfect power (a square), and thus also a powerful number.

196982909203600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50772636242064 + 146210272961536 = 7125492^2 + 12091744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (196982909203603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 83929657627 + ... + 83929659973.

Almost surely, 2^{196982909203600} is an apocalyptic number.

196982909203600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196982909203600 is the 14035060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196982909203600

196982909203600 is an abundant number, since it is smaller than the sum of its proper divisors (338950547631323).

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

196982909203600 is an equidigital number, since it uses as much as digits as its factorization.

196982909203600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 64.

The spelling of 196982909203600 in words is "one hundred ninety-six trillion, nine hundred eighty-two billion, nine hundred nine million, two hundred three thousand, six hundred".