316659348799488 has 138 divisors (see below), whose sum is σ = 914793674309619. Its totient is φ = 105553116266496.

The previous prime is 316659348799483. The next prime is 316659348799511. The reversal of 316659348799488 is 884997843956613.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)² ⋅ (2!)³⁹.

316659348799488 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 5 + 9 + 34 + 8 + 7 + 99 + 488 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158329674399744 + 158329674399744 = 12582912^2 + 12582912^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=9, B=32.

Its product of digits (67722117120) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 316659348799398 and 316659348799407.

It is not an unprimeable number, because it can be changed into a prime (316659348799483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 105553116266495 + 105553116266496 + 105553116266497.

Almost surely, 2^{316659348799488} 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 316659348799488

316659348799488 is an abundant number, since it is smaller than the sum of its proper divisors (598134325510131).

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

316659348799488 is an frugal number, since it uses more digits than its factorization.

316659348799488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 5 counting only the distinct ones).

The product of its digits is 67722117120, while the sum is 90.

The spelling of 316659348799488 in words is "three hundred sixteen trillion, six hundred fifty-nine billion, three hundred forty-eight million, seven hundred ninety-nine thousand, four hundred eighty-eight".