209656036086016 has 243 divisors, whose sum is σ = 460468904113701. Its totient is φ = 95228338563072.

The previous prime is 209656036086001. The next prime is 209656036086031. The reversal of 209656036086016 is 610680630656902.

The square root of 209656036086016 is 14479504.

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

It is an interprime number because it is at equal distance from previous prime (209656036086001) and next prime (209656036086031).

It can be written as a sum of positive squares in only one way, i.e., 31014206521600 + 178641829564416 = 5569040^2 + 13365696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201786367225 + ... + 201786368263.

Almost surely, 2^{209656036086016} is an apocalyptic number.

209656036086016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

209656036086016 is the 14479504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209656036086016

209656036086016 is an abundant number, since it is smaller than the sum of its proper divisors (250812868027685).

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

209656036086016 is an frugal number, since it uses more digits than its factorization.

209656036086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 209656036086016 in words is "two hundred nine trillion, six hundred fifty-six billion, thirty-six million, eighty-six thousand, sixteen".