1803681232144 has 135 divisors (see below), whose sum is σ = 3887437503397. Its totient is φ = 810104838400.

The previous prime is 1803681232141. The next prime is 1803681232159. The reversal of 1803681232144 is 4412321863081.

The square root of 1803681232144 is 1343012.

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., 366291248400 + 1437389983744 = 605220^2 + 1198912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1803681232144.

It is not an unprimeable number, because it can be changed into a prime (1803681232141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7741121052 + ... + 7741121284.

Almost surely, 2^{1803681232144} is an apocalyptic number.

1803681232144 is the 1343012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1803681232144

1803681232144 is an abundant number, since it is smaller than the sum of its proper divisors (2083756271253).

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

1803681232144 is an equidigital number, since it uses as much as digits as its factorization.

1803681232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 1803681232144 in words is "one trillion, eight hundred three billion, six hundred eighty-one million, two hundred thirty-two thousand, one hundred forty-four".