209603681468416 has 135 divisors (see below), whose sum is σ = 442492976717001. Its totient is φ = 99269276073984.

The previous prime is 209603681468399. The next prime is 209603681468417. The reversal of 209603681468416 is 614864186306902.

The square root of 209603681468416 is 14477696.

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

It can be written as a sum of positive squares in only one way, i.e., 1756791193600 + 207846890274816 = 1325440^2 + 14416896^2 .

It is a super-2 number, since 2×209603681468416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209603681468417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35209753696 + ... + 35209759648.

Almost surely, 2^{209603681468416} is an apocalyptic number.

209603681468416 is the 14477696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209603681468416

209603681468416 is an abundant number, since it is smaller than the sum of its proper divisors (232889295248585).

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

209603681468416 is an frugal number, since it uses more digits than its factorization.

209603681468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11972 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

209603681468416 divided by its sum of digits (64) gives a square (3275057522944 = 1809712²).

The spelling of 209603681468416 in words is "two hundred nine trillion, six hundred three billion, six hundred eighty-one million, four hundred sixty-eight thousand, four hundred sixteen".