1814340096 has 480 divisors, whose sum is σ = 6204781440. Its totient is φ = 506068992.

The previous prime is 1814340061. The next prime is 1814340167. The reversal of 1814340096 is 6900434181.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 1814340096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34232806 + ... + 34232858.

It is an arithmetic number, because the mean of its divisors is an integer number (12926628).

Almost surely, 2^1814340096 is an apocalyptic number.

1814340096 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 1814340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102390720).

1814340096 is an abundant number, since it is smaller than the sum of its proper divisors (4390441344).

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

1814340096 is a wasteful number, since it uses less digits than its factorization.

1814340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1814340096 is about 42595.0712641733. The cubic root of 1814340096 is about 1219.6622051449.

The spelling of 1814340096 in words is "one billion, eight hundred fourteen million, three hundred forty thousand, ninety-six".