313856092167464 has 192 divisors, whose sum is σ = 746640988894080. Its totient is φ = 121058904384000.

The previous prime is 313856092167463. The next prime is 313856092167469. The reversal of 313856092167464 is 464761290658313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 313856092167464.

It is not an unprimeable number, because it can be changed into a prime (313856092167463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10393603214 + ... + 10393633410.

It is an arithmetic number, because the mean of its divisors is an integer number (3888755150490).

It is a 1-persistent number, because it is pandigital, but 2⋅313856092167464 = 627712184334928 is not.

Almost surely, 2^{313856092167464} 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 313856092167464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373320494447040).

313856092167464 is an abundant number, since it is smaller than the sum of its proper divisors (432784896726616).

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

313856092167464 is a wasteful number, since it uses less digits than its factorization.

313856092167464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45520 (or 45505 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 65.

The spelling of 313856092167464 in words is "three hundred thirteen trillion, eight hundred fifty-six billion, ninety-two million, one hundred sixty-seven thousand, four hundred sixty-four".