209312442108 has 288 divisors, whose sum is σ = 676952640000. Its totient is φ = 54056862720.

The previous prime is 209312442089. The next prime is 209312442109. The reversal of 209312442108 is 801244213902.

209312442108 is a `hidden beast` number, since 20 + 93 + 1 + 2 + 442 + 108 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209312442109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24308908 + ... + 24317516.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530000).

Almost surely, 2^209312442108 is an apocalyptic number.

209312442108 is a gapful number since it is divisible by the number (28) 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 209312442108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320000).

209312442108 is an abundant number, since it is smaller than the sum of its proper divisors (467640197892).

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

209312442108 is a wasteful number, since it uses less digits than its factorization.

209312442108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8811 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 209312442108 in words is "two hundred nine billion, three hundred twelve million, four hundred forty-two thousand, one hundred eight".