208198136160 has 1440 divisors, whose sum is σ = 921873173760. Its totient is φ = 43204202496.

The previous prime is 208198136143. The next prime is 208198136173. The reversal of 208198136160 is 61631891802.

208198136160 is a `hidden beast` number, since 2 + 0 + 8 + 19 + 8 + 13 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 3928266694 + ... + 3928266746.

It is an arithmetic number, because the mean of its divisors is an integer number (640189704).

Almost surely, 2^208198136160 is an apocalyptic number.

208198136160 is a gapful number since it is divisible by the number (20) 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 208198136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460936586880).

208198136160 is an abundant number, since it is smaller than the sum of its proper divisors (713675037600).

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

208198136160 is a wasteful number, since it uses less digits than its factorization.

208198136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 208198136160 in words is "two hundred eight billion, one hundred ninety-eight million, one hundred thirty-six thousand, one hundred sixty".