313546361856 has 528 divisors, whose sum is σ = 1054434657024. Its totient is φ = 82102616064.

The previous prime is 313546361833. The next prime is 313546361861. The reversal of 313546361856 is 658163645313.

It is a super-2 number, since 2×313546361856² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313546361799 and 313546361808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318968341 + ... + 318969323.

Almost surely, 2^313546361856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313546361856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527217328512).

313546361856 is an abundant number, since it is smaller than the sum of its proper divisors (740888295168).

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

313546361856 is a wasteful number, since it uses less digits than its factorization.

313546361856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1171 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The spelling of 313546361856 in words is "three hundred thirteen billion, five hundred forty-six million, three hundred sixty-one thousand, eight hundred fifty-six".