1809186816 has 144 divisors (see below), whose sum is σ = 4982814144. Its totient is φ = 583532544.

The previous prime is 1809186811. The next prime is 1809186833. The reversal of 1809186816 is 6186819081.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809186811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16908235 + ... + 16908341.

It is an arithmetic number, because the mean of its divisors is an integer number (34602876).

Almost surely, 2^1809186816 is an apocalyptic number.

1809186816 is a gapful number since it is divisible by the number (16) 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 1809186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491407072).

1809186816 is an abundant number, since it is smaller than the sum of its proper divisors (3173627328).

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

1809186816 is an frugal number, since it uses more digits than its factorization.

1809186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 1809186816 is about 42534.5367436863. The cubic root of 1809186816 is about 1218.5063724251.

The spelling of 1809186816 in words is "one billion, eight hundred nine million, one hundred eighty-six thousand, eight hundred sixteen".