199906344102976 has 189 divisors, whose sum is σ = 469256947043157. Its totient is φ = 84249293345280.

The previous prime is 199906344102961. The next prime is 199906344103007. The reversal of 199906344102976 is 679201443609991.

The square root of 199906344102976 is 14138824.

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

It can be written as a sum of positive squares in only one way, i.e., 6500582541376 + 193405761561600 = 2549624^2 + 13907040^2 .

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 26 ways as a sum of consecutive naturals, for example, 48298220715 + ... + 48298224853.

Almost surely, 2^{199906344102976} is an apocalyptic number.

199906344102976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199906344102976 is the 14138824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199906344102976

199906344102976 is an abundant number, since it is smaller than the sum of its proper divisors (269350602940181).

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

199906344102976 is an frugal number, since it uses more digits than its factorization.

199906344102976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 70.

The spelling of 199906344102976 in words is "one hundred ninety-nine trillion, nine hundred six billion, three hundred forty-four million, one hundred two thousand, nine hundred seventy-six".