199291495980096 has 189 divisors, whose sum is σ = 618567845336181. Its totient is φ = 61319105063424.

The previous prime is 199291495979987. The next prime is 199291495980097. The reversal of 199291495980096 is 690089594192991.

The square root of 199291495980096 is 14117064.

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

199291495980096 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 9 + 14 + 9 + 598 + 0 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29480990529600 + 169810505450496 = 5429640^2 + 13031136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 199291495979997 and 199291495980024.

It is not an unprimeable number, because it can be changed into a prime (199291495980097) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4404501345 + ... + 4404546591.

Almost surely, 2^{199291495980096} is an apocalyptic number.

199291495980096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199291495980096 is the 14117064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199291495980096

199291495980096 is an abundant number, since it is smaller than the sum of its proper divisors (419276349356085).

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

199291495980096 is an frugal number, since it uses more digits than its factorization.

199291495980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90538 (or 45265 counting only the distinct ones).

The product of its (nonzero) digits is 1020366720, while the sum is 81.

The spelling of 199291495980096 in words is "one hundred ninety-nine trillion, two hundred ninety-one billion, four hundred ninety-five million, nine hundred eighty thousand, ninety-six".