199435854974976 has 117 divisors (see below), whose sum is σ = 576085527164329. Its totient is φ = 66477714505728.

The previous prime is 199435854974963. The next prime is 199435854975023. The reversal of 199435854974976 is 679479458534991.

The square root of 199435854974976 is 14122176.

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

199435854974976 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 3 + 5 + 8 + 5 + 497 + 49 + 76 = 666.

199435854974976 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 only one way, i.e., 86588235878400 + 112847619096576 = 9305280^2 + 10622976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2711421016 + ... + 2711494568.

Almost surely, 2^{199435854974976} is an apocalyptic number.

199435854974976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199435854974976 is the 14122176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199435854974976

199435854974976 is an abundant number, since it is smaller than the sum of its proper divisors (376649672189353).

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

199435854974976 is an frugal number, since it uses more digits than its factorization.

199435854974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147136 (or 73558 counting only the distinct ones).

The product of its digits is 74071065600, while the sum is 90.

The spelling of 199435854974976 in words is "one hundred ninety-nine trillion, four hundred thirty-five billion, eight hundred fifty-four million, nine hundred seventy-four thousand, nine hundred seventy-six".