316370601496320 has 1728 divisors, whose sum is σ = 1281529466380800. Its totient is φ = 66060742164480.

The previous prime is 316370601496319. The next prime is 316370601496321. The reversal of 316370601496320 is 23694106073613.

It is an interprime number because it is at equal distance from previous prime (316370601496319) and next prime (316370601496321).

It is a super-2 number, since 2×316370601496320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316370601496321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113110689162 + ... + 113110691958.

It is an arithmetic number, because the mean of its divisors is an integer number (741625848600).

Almost surely, 2^{316370601496320} is an apocalyptic number.

316370601496320 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 316370601496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640764733190400).

316370601496320 is an abundant number, since it is smaller than the sum of its proper divisors (965158864884480).

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

316370601496320 is a wasteful number, since it uses less digits than its factorization.

316370601496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 316370601496320 in words is "three hundred sixteen trillion, three hundred seventy billion, six hundred one million, four hundred ninety-six thousand, three hundred twenty".