313666668000 has 1920 divisors, whose sum is σ = 1438441804800. Its totient is φ = 65318400000.

The previous prime is 313666667987. The next prime is 313666668001. The reversal of 313666668000 is 866666313.

It is a happy number.

It is a super-2 number, since 2×313666668000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313666668001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1249667875 + ... + 1249668125.

It is an arithmetic number, because the mean of its divisors is an integer number (749188440).

Almost surely, 2^313666668000 is an apocalyptic number.

313666668000 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 313666668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719220902400).

313666668000 is an abundant number, since it is smaller than the sum of its proper divisors (1124775136800).

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

313666668000 is a wasteful number, since it uses less digits than its factorization.

313666668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 313666668000 in words is "three hundred thirteen billion, six hundred sixty-six million, six hundred sixty-eight thousand".