196859041344 has 567 divisors, whose sum is σ = 697769620587. Its totient is φ = 52901807616.

The previous prime is 196859041303. The next prime is 196859041361. The reversal of 196859041344 is 443140958691.

The square root of 196859041344 is 443688.

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

196859041344 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 590 + 4 + 1 + 3 + 44 = 666.

196859041344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1416252027 + ... + 1416252165.

Almost surely, 2^196859041344 is an apocalyptic number.

196859041344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

196859041344 is the 443688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196859041344

196859041344 is an abundant number, since it is smaller than the sum of its proper divisors (500910579243).

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

196859041344 is a wasteful number, since it uses less digits than its factorization.

196859041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 196859041344 in words is "one hundred ninety-six billion, eight hundred fifty-nine million, forty-one thousand, three hundred forty-four".