1813948100 has 18 divisors (see below), whose sum is σ = 3936267594. Its totient is φ = 725579200.

The previous prime is 1813948079. The next prime is 1813948109. The reversal of 1813948100 is 18493181.

It can be written as a sum of positive squares in 3 ways, for example, as 644855236 + 1169092864 = 25394^2 + 34192^2 .

It is a super-2 number, since 2×1813948100² = 6580815418987220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1813948109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9069641 + ... + 9069840.

It is an arithmetic number, because the mean of its divisors is an integer number (218681533).

Almost surely, 2^1813948100 is an apocalyptic number.

1813948100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1813948100 is an abundant number, since it is smaller than the sum of its proper divisors (2122319494).

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

1813948100 is a wasteful number, since it uses less digits than its factorization.

1813948100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18139495 (or 18139488 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 1813948100 is about 42590.4695912125. The cubic root of 1813948100 is about 1219.5743610589.

The spelling of 1813948100 in words is "one billion, eight hundred thirteen million, nine hundred forty-eight thousand, one hundred".