813600000000 has 648 divisors, whose sum is σ = 2963274849990. Its totient is φ = 215040000000.

The previous prime is 813599999987. The next prime is 813600000001. The reversal of 813600000000 is 6318.

It can be written as a sum of positive squares in 9 ways, for example, as 625896170496 + 187703829504 = 791136^2 + 433248^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813600000001) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7199999944 + ... + 7200000056.

Almost surely, 2^813600000000 is an apocalyptic number.

813600000000 is a gapful number since it is divisible by the number (80) 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 813600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481637424995).

813600000000 is an abundant number, since it is smaller than the sum of its proper divisors (2149674849990).

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

813600000000 is an frugal number, since it uses more digits than its factorization.

813600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 813600000000 its reverse (6318), we get a palindrome (813600006318).

It can be divided in two parts, 81 and 3600000000, that multiplied together give a square (291600000000 = 540000²).

The spelling of 813600000000 in words is "eight hundred thirteen billion, six hundred million", and thus it is an aban number.