1813363200 has 720 divisors, whose sum is σ = 7480208736. Its totient is φ = 431308800.

The previous prime is 1813363199. The next prime is 1813363207. The reversal of 1813363200 is 23633181.

It is a happy number.

1813363200 is a `hidden beast` number, since 1 + 8 + 1 + 336 + 320 + 0 = 666.

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

It is a super-2 number, since 2×1813363200² = 6576572190228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1813363207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34214374 + ... + 34214426.

Almost surely, 2^1813363200 is an apocalyptic number.

1813363200 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 1813363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740104368).

1813363200 is an abundant number, since it is smaller than the sum of its proper divisors (5666845536).

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

1813363200 is an equidigital number, since it uses as much as digits as its factorization.

1813363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1813363200 is about 42583.6024779492. The cubic root of 1813363200 is about 1219.4432647452.

Adding to 1813363200 its reverse (23633181), we get a palindrome (1836996381).

The spelling of 1813363200 in words is "one billion, eight hundred thirteen million, three hundred sixty-three thousand, two hundred".