1819104089418 has 640 divisors, whose sum is σ = 5414743572480. Its totient is φ = 442777104000.

The previous prime is 1819104089417. The next prime is 1819104089437. The reversal of 1819104089418 is 8149804019181.

1819104089418 is a `hidden beast` number, since 1 + 8 + 191 + 0 + 408 + 9 + 41 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1819104089417) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1619860605 + ... + 1619861727.

It is an arithmetic number, because the mean of its divisors is an integer number (8460536832).

Almost surely, 2^{1819104089418} is an apocalyptic number.

1819104089418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1819104089418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707371786240).

1819104089418 is an abundant number, since it is smaller than the sum of its proper divisors (3595639483062).

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

1819104089418 is a wasteful number, since it uses less digits than its factorization.

1819104089418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 1819104089418 in words is "one trillion, eight hundred nineteen billion, one hundred four million, eighty-nine thousand, four hundred eighteen".