1811000444904 has 288 divisors, whose sum is σ = 5836201113600. Its totient is φ = 516057816960.

The previous prime is 1811000444857. The next prime is 1811000444909. The reversal of 1811000444904 is 4094440001181.

1811000444904 is a `hidden beast` number, since 18 + 110 + 0 + 0 + 44 + 490 + 4 = 666.

It is a super-2 number, since 2×1811000444904² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1811000444909) 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 71 ways as a sum of consecutive naturals, for example, 142918489 + ... + 142931159.

It is an arithmetic number, because the mean of its divisors is an integer number (20264587200).

Almost surely, 2^{1811000444904} is an apocalyptic number.

1811000444904 is a gapful number since it is divisible by the number (14) 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 1811000444904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918100556800).

1811000444904 is an abundant number, since it is smaller than the sum of its proper divisors (4025200668696).

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

1811000444904 is an equidigital number, since it uses as much as digits as its factorization.

1811000444904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097 (or 13072 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1811000444904 in words is "one trillion, eight hundred eleven billion, four hundred forty-four thousand, nine hundred four".