1828381819100 has 72 divisors (see below), whose sum is σ = 4140424995840. Its totient is φ = 699498585280.

The previous prime is 1828381819093. The next prime is 1828381819127. The reversal of 1828381819100 is 19181838281.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 23 ways as a sum of consecutive naturals, for example, 38945441 + ... + 38992359.

It is an arithmetic number, because the mean of its divisors is an integer number (57505902720).

Almost surely, 2^{1828381819100} is an apocalyptic number.

1828381819100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828381819100 is an abundant number, since it is smaller than the sum of its proper divisors (2312043176740).

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

1828381819100 is a wasteful number, since it uses less digits than its factorization.

1828381819100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63899 (or 63892 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 50.

The spelling of 1828381819100 in words is "one trillion, eight hundred twenty-eight billion, three hundred eighty-one million, eight hundred nineteen thousand, one hundred".