209918065171152 has 640 divisors, whose sum is σ = 642645268070400. Its totient is φ = 58430820188160.

The previous prime is 209918065171109. The next prime is 209918065171153. The reversal of 209918065171152 is 251171560819902.

It is a junction number, because it is equal to n+sod(n) for n = 209918065171092 and 209918065171101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209918065171153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33517171573 + ... + 33517177835.

It is an arithmetic number, because the mean of its divisors is an integer number (1004133231360).

Almost surely, 2^{209918065171152} 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 209918065171152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321322634035200).

209918065171152 is an abundant number, since it is smaller than the sum of its proper divisors (432727202899248).

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

209918065171152 is a wasteful number, since it uses less digits than its factorization.

209918065171152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 57.

The spelling of 209918065171152 in words is "two hundred nine trillion, nine hundred eighteen billion, sixty-five million, one hundred seventy-one thousand, one hundred fifty-two".