1816338006 has 96 divisors (see below), whose sum is σ = 4681168128. Its totient is φ = 517065120.

The previous prime is 1816338001. The next prime is 1816338011. The reversal of 1816338006 is 6008336181.

1816338006 is a `hidden beast` number, since 18 + 1 + 633 + 8 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1816338001) and next prime (1816338011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1816338001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125256 + ... + 1126868.

It is an arithmetic number, because the mean of its divisors is an integer number (48762168).

Almost surely, 2^1816338006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1816338006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340584064).

1816338006 is an abundant number, since it is smaller than the sum of its proper divisors (2864830122).

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

1816338006 is a wasteful number, since it uses less digits than its factorization.

1816338006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1956 counting only the distinct ones).

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

The square root of 1816338006 is about 42618.5171727032. The cubic root of 1816338006 is about 1220.1097290000.

It can be divided in two parts, 18163 and 38006, that added together give a square (56169 = 237²).

The spelling of 1816338006 in words is "one billion, eight hundred sixteen million, three hundred thirty-eight thousand, six".