199618461696 has 336 divisors, whose sum is σ = 579820308480. Its totient is φ = 60901294080.

The previous prime is 199618461661. The next prime is 199618461743. The reversal of 199618461696 is 696164816991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2242904020 + ... + 2242904108.

It is an arithmetic number, because the mean of its divisors is an integer number (1725655680).

Almost surely, 2^199618461696 is an apocalyptic number.

199618461696 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 199618461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289910154240).

199618461696 is an abundant number, since it is smaller than the sum of its proper divisors (380201846784).

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

199618461696 is an frugal number, since it uses more digits than its factorization.

199618461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 66.

The spelling of 199618461696 in words is "one hundred ninety-nine billion, six hundred eighteen million, four hundred sixty-one thousand, six hundred ninety-six".