313773196800 has 960 divisors, whose sum is σ = 1233659040768. Its totient is φ = 68812800000.

The previous prime is 313773196799. The next prime is 313773196813. The reversal of 313773196800 is 8691377313.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 313773196800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 782476600 + ... + 782477000.

Almost surely, 2^313773196800 is an apocalyptic number.

313773196800 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 313773196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616829520384).

313773196800 is an abundant number, since it is smaller than the sum of its proper divisors (919885843968).

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

313773196800 is a wasteful number, since it uses less digits than its factorization.

313773196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 313773196800 in words is "three hundred thirteen billion, seven hundred seventy-three million, one hundred ninety-six thousand, eight hundred".