209730140994816 has 720 divisors, whose sum is σ = 686032430806800. Its totient is φ = 63340529319936.

The previous prime is 209730140994707. The next prime is 209730140994851. The reversal of 209730140994816 is 618499041037902.

209730140994816 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 3 + 0 + 140 + 9 + 9 + 481 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 81607663420416 + 128122477574400 = 9033696^2 + 11319120^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3286810720 + ... + 3286874528.

It is an arithmetic number, because the mean of its divisors is an integer number (952822820565).

Almost surely, 2^{209730140994816} is an apocalyptic number.

209730140994816 is a gapful number since it is divisible by the number (26) 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 209730140994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343016215403400).

209730140994816 is an abundant number, since it is smaller than the sum of its proper divisors (476302289811984).

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

209730140994816 is a wasteful number, since it uses less digits than its factorization.

209730140994816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64076 (or 64053 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 209730140994816 in words is "two hundred nine trillion, seven hundred thirty billion, one hundred forty million, nine hundred ninety-four thousand, eight hundred sixteen".