1819818000 has 960 divisors, whose sum is σ = 8618448384. Its totient is φ = 345600000.

The previous prime is 1819817981. The next prime is 1819818031. The reversal of 1819818000 is 8189181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18017950 + ... + 18018050.

Almost surely, 2^1819818000 is an apocalyptic number.

1819818000 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 1819818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309224192).

1819818000 is an abundant number, since it is smaller than the sum of its proper divisors (6798630384).

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

1819818000 is a wasteful number, since it uses less digits than its factorization.

1819818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 1819818000 is about 42659.3248891728. The cubic root of 1819818000 is about 1220.8884507518. Note that the first 3 decimals are identical.

It can be divided in two parts, 181981 and 8000, that added together give a palindrome (189981).

The spelling of 1819818000 in words is "one billion, eight hundred nineteen million, eight hundred eighteen thousand".