317465045520 has 960 divisors, whose sum is σ = 1221133271040. Its totient is φ = 67931136000.

The previous prime is 317465045509. The next prime is 317465045563. The reversal of 317465045520 is 25540564713.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2102417445 + ... + 2102417595.

It is an arithmetic number, because the mean of its divisors is an integer number (1272013824).

Almost surely, 2^317465045520 is an apocalyptic number.

317465045520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317465045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610566635520).

317465045520 is an abundant number, since it is smaller than the sum of its proper divisors (903668225520).

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

317465045520 is a wasteful number, since it uses less digits than its factorization.

317465045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 317465045520 in words is "three hundred seventeen billion, four hundred sixty-five million, forty-five thousand, five hundred twenty".