209480331816 has 320 divisors, whose sum is σ = 677445120000. Its totient is φ = 59240522880.

The previous prime is 209480331811. The next prime is 209480331859. The reversal of 209480331816 is 618133084902.

It is not an unprimeable number, because it can be changed into a prime (209480331811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215736211 + ... + 215737181.

It is an arithmetic number, because the mean of its divisors is an integer number (2117016000).

Almost surely, 2^209480331816 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 209480331816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338722560000).

209480331816 is an abundant number, since it is smaller than the sum of its proper divisors (467964788184).

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

209480331816 is a wasteful number, since it uses less digits than its factorization.

209480331816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 209480331816 in words is "two hundred nine billion, four hundred eighty million, three hundred thirty-one thousand, eight hundred sixteen".