316354768128 has 576 divisors, whose sum is σ = 1120831488000. Its totient is φ = 86056058880.

The previous prime is 316354768123. The next prime is 316354768193. The reversal of 316354768128 is 821867453613.

316354768128 is a `hidden beast` number, since 3 + 16 + 3 + 547 + 6 + 81 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (316354768123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301576948 + ... + 301577996.

It is an arithmetic number, because the mean of its divisors is an integer number (1945888000).

Almost surely, 2^316354768128 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 316354768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560415744000).

316354768128 is an abundant number, since it is smaller than the sum of its proper divisors (804476719872).

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

316354768128 is a wasteful number, since it uses less digits than its factorization.

316354768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1355 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 316354768128 in words is "three hundred sixteen billion, three hundred fifty-four million, seven hundred sixty-eight thousand, one hundred twenty-eight".