199997681896008 has 128 divisors (see below), whose sum is σ = 560825739936000. Its totient is φ = 66033091537920.

The previous prime is 199997681895971. The next prime is 199997681896031. The reversal of 199997681896008 is 800698186799991.

It is a super-3 number, since 3×199997681896008³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72119941 + ... + 74841707.

It is an arithmetic number, because the mean of its divisors is an integer number (4381451093250).

Almost surely, 2^{199997681896008} is an apocalyptic number.

199997681896008 is a gapful number since it is divisible by the number (18) 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 199997681896008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280412869968000).

199997681896008 is an abundant number, since it is smaller than the sum of its proper divisors (360828058039992).

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

199997681896008 is a wasteful number, since it uses less digits than its factorization.

199997681896008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725012 (or 2725002 counting only the distinct ones).

The product of its (nonzero) digits is 7618738176, while the sum is 90.

The spelling of 199997681896008 in words is "one hundred ninety-nine trillion, nine hundred ninety-seven billion, six hundred eighty-one million, eight hundred ninety-six thousand, eight".