312317142760 has 192 divisors, whose sum is σ = 838231863120. Its totient is φ = 104388157440.

The previous prime is 312317142721. The next prime is 312317142769. The reversal of 312317142760 is 67241713213.

It can be written as a sum of positive squares in 8 ways, for example, as 25961587876 + 286355554884 = 161126^2 + 535122^2 .

It is not an unprimeable number, because it can be changed into a prime (312317142769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13498722 + ... + 13521838.

Almost surely, 2^312317142760 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 312317142760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419115931560).

312317142760 is an abundant number, since it is smaller than the sum of its proper divisors (525914720360).

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

312317142760 is a wasteful number, since it uses less digits than its factorization.

312317142760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23316 (or 23305 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

Adding to 312317142760 its reverse (67241713213), we get a palindrome (379558855973).

The spelling of 312317142760 in words is "three hundred twelve billion, three hundred seventeen million, one hundred forty-two thousand, seven hundred sixty".