317980154406720 has 896 divisors, whose sum is σ = 1146014503796736. Its totient is φ = 74112966918144.

The previous prime is 317980154406713. The next prime is 317980154406737. The reversal of 317980154406720 is 27604451089713.

It is a super-3 number, since 3×317980154406720³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16659505017 + ... + 16659524103.

It is an arithmetic number, because the mean of its divisors is an integer number (1279034044416).

It is a 1-persistent number, because it is pandigital, but 2⋅317980154406720 = 635960308813440 is not.

Almost surely, 2^{317980154406720} is an apocalyptic number.

317980154406720 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 317980154406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573007251898368).

317980154406720 is an abundant number, since it is smaller than the sum of its proper divisors (828034349390016).

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

317980154406720 is a wasteful number, since it uses less digits than its factorization.

317980154406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19717 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 317980154406720 in words is "three hundred seventeen trillion, nine hundred eighty billion, one hundred fifty-four million, four hundred six thousand, seven hundred twenty".