181268209408 has 288 divisors, whose sum is σ = 445481068032. Its totient is φ = 72436531200.

The previous prime is 181268209403. The next prime is 181268209429. The reversal of 181268209408 is 804902862181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181268209403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388154391 + ... + 388154857.

It is an arithmetic number, because the mean of its divisors is an integer number (1546809264).

Almost surely, 2^181268209408 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 181268209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222740534016).

181268209408 is an abundant number, since it is smaller than the sum of its proper divisors (264212858624).

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

181268209408 is a wasteful number, since it uses less digits than its factorization.

181268209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 181268209408 in words is "one hundred eighty-one billion, two hundred sixty-eight million, two hundred nine thousand, four hundred eight".