313224658080768 has 2640 divisors, whose sum is σ = 1195527598102656. Its totient is φ = 78512321986560.

The previous prime is 313224658080767. The next prime is 313224658080793. The reversal of 313224658080768 is 867080856422313.

313224658080768 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 2 + 46 + 580 + 8 + 0 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×313224658080768² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313224658080767) 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 239 ways as a sum of consecutive naturals, for example, 354727811655 + ... + 354727812537.

Almost surely, 2^{313224658080768} 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 313224658080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597763799051328).

313224658080768 is an abundant number, since it is smaller than the sum of its proper divisors (882302940021888).

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

313224658080768 is a wasteful number, since it uses less digits than its factorization.

313224658080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 313224658080768 in words is "three hundred thirteen trillion, two hundred twenty-four billion, six hundred fifty-eight million, eighty thousand, seven hundred sixty-eight".