1819182001100 has 72 divisors (see below), whose sum is σ = 4024608689808. Its totient is φ = 713499321600.

The previous prime is 1819182001001. The next prime is 1819182001121. The reversal of 1819182001100 is 11002819181.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8485427 + ... + 8697173.

It is an arithmetic number, because the mean of its divisors is an integer number (55897342914).

Almost surely, 2^{1819182001100} is an apocalyptic number.

1819182001100 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 1819182001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012304344904).

1819182001100 is an abundant number, since it is smaller than the sum of its proper divisors (2205426688708).

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

1819182001100 is a wasteful number, since it uses less digits than its factorization.

1819182001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213435 (or 213428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 32.

The spelling of 1819182001100 in words is "one trillion, eight hundred nineteen billion, one hundred eighty-two million, one thousand, one hundred".