209750163424516 has 243 divisors, whose sum is σ = 443180531467359. Its totient is φ = 86757489561600.

The previous prime is 209750163424409. The next prime is 209750163424523. The reversal of 209750163424516 is 615424361057902.

The square root of 209750163424516 is 14482754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1256663420100 + 208493500004416 = 1121010^2 + 14439304^2 .

It is a super-2 number, since 2×209750163424516² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 327223343556 + ... + 327223344196.

Almost surely, 2^{209750163424516} is an apocalyptic number.

209750163424516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

209750163424516 is the 14482754-th square number.

It is an amenable number.

209750163424516 is an abundant number, since it is smaller than the sum of its proper divisors (233430368042843).

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

209750163424516 is an equidigital number, since it uses as much as digits as its factorization.

209750163424516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 209750163424516 in words is "two hundred nine trillion, seven hundred fifty billion, one hundred sixty-three million, four hundred twenty-four thousand, five hundred sixteen".