8313356800 has 480 divisors, whose sum is σ = 25232385024. Its totient is φ = 2654208000.

The previous prime is 8313356791. The next prime is 8313356837. The reversal of 8313356800 is 86533138.

It is a super-2 number, since 2×8313356800² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8313356800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113881564 + ... + 113881636.

Almost surely, 2^8313356800 is an apocalyptic number.

8313356800 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 8313356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12616192512).

8313356800 is an abundant number, since it is smaller than the sum of its proper divisors (16919028224).

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

8313356800 is a wasteful number, since it uses less digits than its factorization.

8313356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 8313356800 is about 91177.6112869821. The cubic root of 8313356800 is about 2025.7793514924.

Adding to 8313356800 its reverse (86533138), we get a palindrome (8399889938).

The spelling of 8313356800 in words is "eight billion, three hundred thirteen million, three hundred fifty-six thousand, eight hundred".