181375474990080 has 2112 divisors, whose sum is σ = 715839532065792. Its totient is φ = 39003645542400.

The previous prime is 181375474990027. The next prime is 181375474990091. The reversal of 181375474990080 is 80099474573181.

It is a junction number, because it is equal to n+sod(n) for n = 181375474989993 and 181375474990020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396882877212 + ... + 396882877668.

Almost surely, 2^{181375474990080} is an apocalyptic number.

181375474990080 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 181375474990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357919766032896).

181375474990080 is an abundant number, since it is smaller than the sum of its proper divisors (534464057075712).

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

181375474990080 is a wasteful number, since it uses less digits than its factorization.

181375474990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 181375474990080 in words is "one hundred eighty-one trillion, three hundred seventy-five billion, four hundred seventy-four million, nine hundred ninety thousand, eighty".