316802605053312 has 768 divisors, whose sum is σ = 1065355703193600. Its totient is φ = 88501680193536.

The previous prime is 316802605053301. The next prime is 316802605053331. The reversal of 316802605053312 is 213350506208613.

316802605053312 is a `hidden beast` number, since 3 + 1 + 6 + 8 + 0 + 2 + 60 + 50 + 533 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25821381514 + ... + 25821393782.

It is an arithmetic number, because the mean of its divisors is an integer number (1387181905200).

Almost surely, 2^{316802605053312} is an apocalyptic number.

316802605053312 is a gapful number since it is divisible by the number (32) 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 316802605053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532677851596800).

316802605053312 is an abundant number, since it is smaller than the sum of its proper divisors (748553098140288).

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

316802605053312 is a wasteful number, since it uses less digits than its factorization.

316802605053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12775 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 316802605053312 in words is "three hundred sixteen trillion, eight hundred two billion, six hundred five million, fifty-three thousand, three hundred twelve".