209968319232 has 360 divisors, whose sum is σ = 718116116256. Its totient is φ = 59774091264.

The previous prime is 209968319227. The next prime is 209968319269. The reversal of 209968319232 is 232913869902.

209968319232 is a `hidden beast` number, since 2 + 0 + 9 + 96 + 8 + 319 + 232 = 666.

It is a super-2 number, since 2×209968319232² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42527068 + ... + 42532004.

Almost surely, 2^209968319232 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 209968319232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359058058128).

209968319232 is an abundant number, since it is smaller than the sum of its proper divisors (508147797024).

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

209968319232 is an equidigital number, since it uses as much as digits as its factorization.

209968319232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 209968319232 in words is "two hundred nine billion, nine hundred sixty-eight million, three hundred nineteen thousand, two hundred thirty-two".