1813165200 has 720 divisors, whose sum is σ = 8136241152. Its totient is φ = 362880000.

The previous prime is 1813165199. The next prime is 1813165273. The reversal of 1813165200 is 25613181.

1813165200 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 1 + 652 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8593095 + ... + 8593305.

Almost surely, 2^1813165200 is an apocalyptic number.

1813165200 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 1813165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068120576).

1813165200 is an abundant number, since it is smaller than the sum of its proper divisors (6323075952).

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

1813165200 is a wasteful number, since it uses less digits than its factorization.

1813165200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1813165200 is about 42581.2775759488. The cubic root of 1813165200 is about 1219.3988797125.

Adding to 1813165200 its reverse (25613181), we get a palindrome (1838778381).

The spelling of 1813165200 in words is "one billion, eight hundred thirteen million, one hundred sixty-five thousand, two hundred".