1818196800 has 336 divisors, whose sum is σ = 6952804992. Its totient is φ = 407347200.

The previous prime is 1818196799. The next prime is 1818196829. The reversal of 1818196800 is 86918181.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780290 + ... + 1781310.

It is an arithmetic number, because the mean of its divisors is an integer number (20692872).

Almost surely, 2^1818196800 is an apocalyptic number.

1818196800 is a gapful number since it is divisible by the number (10) 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 1818196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476402496).

1818196800 is an abundant number, since it is smaller than the sum of its proper divisors (5134608192).

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

1818196800 is a wasteful number, since it uses less digits than its factorization.

1818196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 42.

The square root of 1818196800 is about 42640.3189481505. The cubic root of 1818196800 is about 1220.5257968294.

The spelling of 1818196800 in words is "one billion, eight hundred eighteen million, one hundred ninety-six thousand, eight hundred".