209340319104 has 320 divisors, whose sum is σ = 716150967840. Its totient is φ = 59462221824.

The previous prime is 209340319061. The next prime is 209340319117. The reversal of 209340319104 is 401913043902.

209340319104 is a `hidden beast` number, since 209 + 34 + 0 + 319 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 12547312 + ... + 12563984.

Almost surely, 2^209340319104 is an apocalyptic number.

209340319104 is a gapful number since it is divisible by the number (24) 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 209340319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358075483920).

209340319104 is an abundant number, since it is smaller than the sum of its proper divisors (506810648736).

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

209340319104 is a wasteful number, since it uses less digits than its factorization.

209340319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16879 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 209340319104 in words is "two hundred nine billion, three hundred forty million, three hundred nineteen thousand, one hundred four".