313912303550664 has 512 divisors, whose sum is σ = 999277461504000. Its totient is φ = 79939967385600.

The previous prime is 313912303550603. The next prime is 313912303550683. The reversal of 313912303550664 is 466055303219313.

It is a super-2 number, since 2×313912303550664² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70054071304 + ... + 70054075784.

It is an arithmetic number, because the mean of its divisors is an integer number (1951713792000).

Almost surely, 2^{313912303550664} 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 313912303550664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499638730752000).

313912303550664 is an abundant number, since it is smaller than the sum of its proper divisors (685365157953336).

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

313912303550664 is a wasteful number, since it uses less digits than its factorization.

313912303550664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 51.

Adding to 313912303550664 its reverse (466055303219313), we get a palindrome (779967606769977).

The spelling of 313912303550664 in words is "three hundred thirteen trillion, nine hundred twelve billion, three hundred three million, five hundred fifty thousand, six hundred sixty-four".