813243240000 has 735 divisors, whose sum is σ = 3041698397287. Its totient is φ = 215566272000.

The previous prime is 813243239989. The next prime is 813243240001. The reversal of 813243240000 is 42342318.

The square root of 813243240000 is 901800.

It is a perfect power (a square), and thus also a powerful number.

813243240000 is a `hidden beast` number, since 8 + 13 + 243 + 2 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63758270016 + 749484969984 = 252504^2 + 865728^2 .

It is a super-2 number, since 2×813243240000² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813243240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 4869719917 + ... + 4869720083.

Almost surely, 2^813243240000 is an apocalyptic number.

813243240000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

813243240000 is the 901800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813243240000

813243240000 is an abundant number, since it is smaller than the sum of its proper divisors (2228455157287).

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

813243240000 is an frugal number, since it uses more digits than its factorization.

813243240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 813243240000 its reverse (42342318), we get a palindrome (813285582318).

The spelling of 813243240000 in words is "eight hundred thirteen billion, two hundred forty-three million, two hundred forty thousand".