313544000000 has 560 divisors, whose sum is σ = 978231228480. Its totient is φ = 97536000000.

The previous prime is 313543999933. The next prime is 313544000009. The reversal of 313544000000 is 445313.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (313544000009) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 615999746 + ... + 616000254.

Almost surely, 2^313544000000 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 313544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489115614240).

313544000000 is an abundant number, since it is smaller than the sum of its proper divisors (664687228480).

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

313544000000 is an frugal number, since it uses more digits than its factorization.

313544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 313544000000 its reverse (445313), we get a palindrome (313544445313).

The spelling of 313544000000 in words is "three hundred thirteen billion, five hundred forty-four million", and thus it is an aban number.