181331680478080 has 256 divisors, whose sum is σ = 489218959595520. Its totient is φ = 63673279488000.

The previous prime is 181331680478023. The next prime is 181331680478083. The reversal of 181331680478080 is 80874086133181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181331680478083) 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, 99707467 + ... + 101509813.

It is an arithmetic number, because the mean of its divisors is an integer number (1911011560920).

Almost surely, 2^{181331680478080} is an apocalyptic number.

181331680478080 is a gapful number since it is divisible by the number (10) 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 181331680478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244609479797760).

181331680478080 is an abundant number, since it is smaller than the sum of its proper divisors (307887279117440).

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

181331680478080 is a wasteful number, since it uses less digits than its factorization.

181331680478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802869 (or 1802857 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 58.

The spelling of 181331680478080 in words is "one hundred eighty-one trillion, three hundred thirty-one billion, six hundred eighty million, four hundred seventy-eight thousand, eighty".