181313543389440 has 2304 divisors, whose sum is σ = 798999890411520. Its totient is φ = 33881000509440.

The previous prime is 181313543389369. The next prime is 181313543389453. The reversal of 181313543389440 is 44983345313181.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14139706869 + ... + 14139719691.

It is an arithmetic number, because the mean of its divisors is an integer number (346788146880).

Almost surely, 2^{181313543389440} is an apocalyptic number.

181313543389440 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 181313543389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399499945205760).

181313543389440 is an abundant number, since it is smaller than the sum of its proper divisors (617686347022080).

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

181313543389440 is a wasteful number, since it uses less digits than its factorization.

181313543389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 181313543389440 in words is "one hundred eighty-one trillion, three hundred thirteen billion, five hundred forty-three million, three hundred eighty-nine thousand, four hundred forty".