1819086048 has 144 divisors (see below), whose sum is σ = 5587611120. Its totient is φ = 558047232.

The previous prime is 1819086007. The next prime is 1819086079. The reversal of 1819086048 is 8406809181.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1819085994 and 1819086012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1957648 + ... + 1958576.

It is an arithmetic number, because the mean of its divisors is an integer number (38802855).

Almost surely, 2^1819086048 is an apocalyptic number.

1819086048 is a gapful number since it is divisible by the number (18) 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 1819086048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793805560).

1819086048 is an abundant number, since it is smaller than the sum of its proper divisors (3768525072).

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

1819086048 is a wasteful number, since it uses less digits than its factorization.

1819086048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1819086048 is about 42650.7449876318. The cubic root of 1819086048 is about 1220.7247436156.

The spelling of 1819086048 in words is "one billion, eight hundred nineteen million, eighty-six thousand, forty-eight".