313727421656564 has 12 divisors (see below), whose sum is σ = 581318457775524. Its totient is φ = 147636433720704.

The previous prime is 313727421656497. The next prime is 313727421656569. The reversal of 313727421656564 is 465656124727313.

It can be written as a sum of positive squares in 2 ways, for example, as 174638656568464 + 139088765088100 = 13215092^2 + 11793590^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313727421656497 and 313727421656506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313727421656569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2306819276819 + ... + 2306819276954.

It is an arithmetic number, because the mean of its divisors is an integer number (48443204814627).

Almost surely, 2^{313727421656564} is an apocalyptic number.

313727421656564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313727421656564 is a deficient number, since it is larger than the sum of its proper divisors (267591036118960).

313727421656564 is a wasteful number, since it uses less digits than its factorization.

313727421656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613638553794 (or 4613638553792 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 62.

The spelling of 313727421656564 in words is "three hundred thirteen trillion, seven hundred twenty-seven billion, four hundred twenty-one million, six hundred fifty-six thousand, five hundred sixty-four".