316009264896 has 864 divisors, whose sum is σ = 1097787595520. Its totient is φ = 89069912064.

The previous prime is 316009264889. The next prime is 316009264897. The reversal of 316009264896 is 698462900613.

316009264896 is a `hidden beast` number, since 3 + 1 + 600 + 9 + 26 + 4 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×316009264896² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316009264897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1116640371 + ... + 1116640653.

Almost surely, 2^316009264896 is an apocalyptic number.

316009264896 is a gapful number since it is divisible by the number (36) 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 316009264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548893797760).

316009264896 is an abundant number, since it is smaller than the sum of its proper divisors (781778330624).

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

316009264896 is a wasteful number, since it uses less digits than its factorization.

316009264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 316009264896 in words is "three hundred sixteen billion, nine million, two hundred sixty-four thousand, eight hundred ninety-six".