199708691616 has 288 divisors, whose sum is σ = 707046641280. Its totient is φ = 54578506752.

The previous prime is 199708691591. The next prime is 199708691657. The reversal of 199708691616 is 616196807991.

199708691616 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 0 + 8 + 6 + 9 + 1 + 616 = 666.

199708691616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871180 + ... + 1076276.

It is an arithmetic number, because the mean of its divisors is an integer number (2455023060).

Almost surely, 2^199708691616 is an apocalyptic number.

199708691616 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 199708691616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353523320640).

199708691616 is an abundant number, since it is smaller than the sum of its proper divisors (507337949664).

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

199708691616 is a wasteful number, since it uses less digits than its factorization.

199708691616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205153 (or 205132 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 199708691616 in words is "one hundred ninety-nine billion, seven hundred eight million, six hundred ninety-one thousand, six hundred sixteen".