1808349774336 has 400 divisors, whose sum is σ = 6436731844224. Its totient is φ = 494205566976.

The previous prime is 1808349774317. The next prime is 1808349774377. The reversal of 1808349774336 is 6334779438081.

1808349774336 is a `hidden beast` number, since 1 + 80 + 8 + 34 + 97 + 7 + 433 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6541576 + ... + 6812408.

Almost surely, 2^{1808349774336} is an apocalyptic number.

1808349774336 is a gapful number since it is divisible by the number (16) 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 1808349774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218365922112).

1808349774336 is an abundant number, since it is smaller than the sum of its proper divisors (4628382069888).

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

1808349774336 is an equidigital number, since it uses as much as digits as its factorization.

1808349774336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270893 (or 270868 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 1808349774336 in words is "one trillion, eight hundred eight billion, three hundred forty-nine million, seven hundred seventy-four thousand, three hundred thirty-six".