316256056544064 has 448 divisors, whose sum is σ = 1034708667826176. Its totient is φ = 83015623581696.

The previous prime is 316256056544009. The next prime is 316256056544119. The reversal of 316256056544064 is 460445650652613.

It is an interprime number because it is at equal distance from previous prime (316256056544009) and next prime (316256056544119).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 316256056543995 and 316256056544013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31509017254 + ... + 31509027290.

It is an arithmetic number, because the mean of its divisors is an integer number (2309617562112).

Almost surely, 2^{316256056544064} 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 316256056544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517354333913088).

316256056544064 is an abundant number, since it is smaller than the sum of its proper divisors (718452611282112).

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

316256056544064 is a wasteful number, since it uses less digits than its factorization.

316256056544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382 (or 18372 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 57.

The spelling of 316256056544064 in words is "three hundred sixteen trillion, two hundred fifty-six billion, fifty-six million, five hundred forty-four thousand, sixty-four".