199688613617328 has 320 divisors, whose sum is σ = 590436009676800. Its totient is φ = 57565227596800.

The previous prime is 199688613617239. The next prime is 199688613617393. The reversal of 199688613617328 is 823716316886991.

It is a happy number.

199688613617328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1747015123 + ... + 1747129421.

It is an arithmetic number, because the mean of its divisors is an integer number (1845112530240).

Almost surely, 2^{199688613617328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199688613617328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295218004838400).

199688613617328 is an abundant number, since it is smaller than the sum of its proper divisors (390747396059472).

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

199688613617328 is a wasteful number, since it uses less digits than its factorization.

199688613617328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115128 (or 115122 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 78.

The spelling of 199688613617328 in words is "one hundred ninety-nine trillion, six hundred eighty-eight billion, six hundred thirteen million, six hundred seventeen thousand, three hundred twenty-eight".