313223465808000 has 2304 divisors, whose sum is σ = 1315120663059840. Its totient is φ = 73473868800000.

The previous prime is 313223465807999. The next prime is 313223465808047. The reversal of 313223465808000 is 808564322313.

313223465808000 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 23 + 46 + 580 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41100044190 + ... + 41100051810.

Almost surely, 2^{313223465808000} is an apocalyptic number.

313223465808000 is a gapful number since it is divisible by the number (30) 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 313223465808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657560331529920).

313223465808000 is an abundant number, since it is smaller than the sum of its proper divisors (1001897197251840).

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

313223465808000 is an equidigital number, since it uses as much as digits as its factorization.

313223465808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 313223465808000 in words is "three hundred thirteen trillion, two hundred twenty-three billion, four hundred sixty-five million, eight hundred eight thousand".