209538341376 has 320 divisors, whose sum is σ = 688203952128. Its totient is φ = 55169630208.

The previous prime is 209538341371. The next prime is 209538341381. The reversal of 209538341376 is 673143835902.

It is an interprime number because it is at equal distance from previous prime (209538341371) and next prime (209538341381).

It is a super-2 number, since 2×209538341376² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209538341371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132367081 + ... + 132368663.

It is a 1-persistent number, because it is pandigital, but 2⋅209538341376 = 419076682752 is not.

Almost surely, 2^209538341376 is an apocalyptic number.

209538341376 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 209538341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344101976064).

209538341376 is an abundant number, since it is smaller than the sum of its proper divisors (478665610752).

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

209538341376 is a wasteful number, since it uses less digits than its factorization.

209538341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 209538341376 in words is "two hundred nine billion, five hundred thirty-eight million, three hundred forty-one thousand, three hundred seventy-six".