181440998126080 has 1280 divisors, whose sum is σ = 581933405306880. Its totient is φ = 52583325696000.

The previous prime is 181440998126053. The next prime is 181440998126081. The reversal of 181440998126080 is 80621899044181.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (181440998126081) 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 127 ways as a sum of consecutive naturals, for example, 32176091901 + ... + 32176097539.

It is an arithmetic number, because the mean of its divisors is an integer number (454635472896).

Almost surely, 2^{181440998126080} is an apocalyptic number.

181440998126080 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 181440998126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290966702653440).

181440998126080 is an abundant number, since it is smaller than the sum of its proper divisors (400492407180800).

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

181440998126080 is a wasteful number, since it uses less digits than its factorization.

181440998126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 61.

The spelling of 181440998126080 in words is "one hundred eighty-one trillion, four hundred forty billion, nine hundred ninety-eight million, one hundred twenty-six thousand, eighty".