1816166400 has 192 divisors, whose sum is σ = 6013491600. Its totient is φ = 483655680.

The previous prime is 1816166377. The next prime is 1816166413. The reversal of 1816166400 is 46616181.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457231 + ... + 2457969.

Almost surely, 2^1816166400 is an apocalyptic number.

1816166400 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 1816166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006745800).

1816166400 is an abundant number, since it is smaller than the sum of its proper divisors (4197325200).

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

1816166400 is an frugal number, since it uses more digits than its factorization.

1816166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1816166400 is about 42616.5038453414. The cubic root of 1816166400 is about 1220.0713028290.

The spelling of 1816166400 in words is "one billion, eight hundred sixteen million, one hundred sixty-six thousand, four hundred".