180842249017600 has 243 divisors, whose sum is σ = 452123009582881. Its totient is φ = 71615239014400.

The previous prime is 180842249017589. The next prime is 180842249017607. The reversal of 180842249017600 is 6710942248081.

The square root of 180842249017600 is 13447760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 65103209646336 + 115739039371264 = 8068656^2 + 10758208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180842249017607) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 115112824815 + ... + 115112826385.

Almost surely, 2^{180842249017600} is an apocalyptic number.

180842249017600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180842249017600 is the 13447760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180842249017600

180842249017600 is an abundant number, since it is smaller than the sum of its proper divisors (271280760565281).

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

180842249017600 is an frugal number, since it uses more digits than its factorization.

180842249017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 180842249017600 in words is "one hundred eighty trillion, eight hundred forty-two billion, two hundred forty-nine million, seventeen thousand, six hundred".