317627061345 has 320 divisors, whose sum is σ = 695510323200. Its totient is φ = 136675952640.

The previous prime is 317627061343. The next prime is 317627061361. The reversal of 317627061345 is 543160726713.

317627061345 is a `hidden beast` number, since 3 + 1 + 7 + 6 + 27 + 0 + 613 + 4 + 5 = 666.

It is not a de Polignac number, because 317627061345 - 2¹ = 317627061343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 317627061345.

It is not an unprimeable number, because it can be changed into a prime (317627061343) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 441761896 + ... + 441762614.

It is an arithmetic number, because the mean of its divisors is an integer number (2173469760).

Almost surely, 2^317627061345 is an apocalyptic number.

It is an amenable number.

317627061345 is an abundant number, since it is smaller than the sum of its proper divisors (377883261855).

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

317627061345 is a wasteful number, since it uses less digits than its factorization.

317627061345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 317627061345 in words is "three hundred seventeen billion, six hundred twenty-seven million, sixty-one thousand, three hundred forty-five".