199710314496 has 1404 divisors, whose sum is σ = 805548154320. Its totient is φ = 47006023680.

The previous prime is 199710314449. The next prime is 199710314497. The reversal of 199710314496 is 694413017991.

199710314496 is a `hidden beast` number, since 1 + 9 + 97 + 103 + 1 + 449 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (199710314497) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 8683057141 + ... + 8683057163.

Almost surely, 2^199710314496 is an apocalyptic number.

199710314496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199710314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402774077160).

199710314496 is an abundant number, since it is smaller than the sum of its proper divisors (605837839824).

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

199710314496 is a wasteful number, since it uses less digits than its factorization.

199710314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 199710314496 in words is "one hundred ninety-nine billion, seven hundred ten million, three hundred fourteen thousand, four hundred ninety-six".