1809111081024 has 441 divisors, whose sum is σ = 5840548199373. Its totient is φ = 555487455744.

The previous prime is 1809111081017. The next prime is 1809111081047. The reversal of 1809111081024 is 4201801119081.

The square root of 1809111081024 is 1345032.

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., 267619982400 + 1541491098624 = 517320^2 + 1241568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1809111081024.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 3776849617 + ... + 3776850095.

Almost surely, 2^{1809111081024} is an apocalyptic number.

1809111081024 is the 1345032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1809111081024

1809111081024 is an abundant number, since it is smaller than the sum of its proper divisors (4031437118349).

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

1809111081024 is an frugal number, since it uses more digits than its factorization.

1809111081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

Multiplying 1809111081024 by its sum of digits (36), we get a square (65127998916864 = 8070192²).

1809111081024 divided by its sum of digits (36) gives a square (50253085584 = 224172²).

The spelling of 1809111081024 in words is "one trillion, eight hundred nine billion, one hundred eleven million, eighty-one thousand, twenty-four".