196399648900 has 243 divisors, whose sum is σ = 537943036239. Its totient is φ = 62029618560.

The previous prime is 196399648897. The next prime is 196399648927. The reversal of 196399648900 is 9846993691.

The square root of 196399648900 is 443170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50622300036 + 145777348864 = 224994^2 + 381808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 403284457 + ... + 403284943.

Almost surely, 2^196399648900 is an apocalyptic number.

196399648900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196399648900 is the 443170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196399648900

196399648900 is an abundant number, since it is smaller than the sum of its proper divisors (341543387339).

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

196399648900 is a wasteful number, since it uses less digits than its factorization.

196399648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 514 counting only the distinct ones).

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

Multiplying 196399648900 by its sum of digits (64), we get a square (12569577529600 = 3545360²).

The spelling of 196399648900 in words is "one hundred ninety-six billion, three hundred ninety-nine million, six hundred forty-eight thousand, nine hundred".