1809013681488 has 320 divisors, whose sum is σ = 5323307286528. Its totient is φ = 525407662080.

The previous prime is 1809013681487. The next prime is 1809013681493. The reversal of 1809013681488 is 8841863109081.

It is a super-3 number, since 3×1809013681488³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809013681481) 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 63 ways as a sum of consecutive naturals, for example, 992326945 + ... + 992328767.

Almost surely, 2^{1809013681488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1809013681488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661653643264).

1809013681488 is an abundant number, since it is smaller than the sum of its proper divisors (3514293605040).

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

1809013681488 is a wasteful number, since it uses less digits than its factorization.

1809013681488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 57.

The spelling of 1809013681488 in words is "one trillion, eight hundred nine billion, thirteen million, six hundred eighty-one thousand, four hundred eighty-eight".