313344000000 has 756 divisors, whose sum is σ = 1198060094322. Its totient is φ = 78643200000.

The previous prime is 313343999963. The next prime is 313344000007. The reversal of 313344000000 is 443313.

It can be written as a sum of positive squares in 7 ways, for example, as 121037193216 + 192306806784 = 347904^2 + 438528^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313344000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18431999992 + ... + 18432000008.

Almost surely, 2^313344000000 is an apocalyptic number.

313344000000 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 313344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599030047161).

313344000000 is an abundant number, since it is smaller than the sum of its proper divisors (884716094322).

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

313344000000 is an frugal number, since it uses more digits than its factorization.

313344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 313344000000 its reverse (443313), we get a palindrome (313344443313).

The spelling of 313344000000 in words is "three hundred thirteen billion, three hundred forty-four million", and thus it is an aban number.