316397140849152 has 720 divisors, whose sum is σ = 1048265620706304. Its totient is φ = 91628494848000.

The previous prime is 316397140849151. The next prime is 316397140849183. The reversal of 316397140849152 is 251948041793613.

316397140849152 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 9 + 71 + 408 + 4 + 9 + 152 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 316397140849152.

It is not an unprimeable number, because it can be changed into a prime (316397140849151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15401690593 + ... + 15401711135.

It is a 1-persistent number, because it is pandigital, but 2⋅316397140849152 = 632794281698304 is not.

Almost surely, 2^{316397140849152} is an apocalyptic number.

316397140849152 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 316397140849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524132810353152).

316397140849152 is an abundant number, since it is smaller than the sum of its proper divisors (731868479857152).

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

316397140849152 is a wasteful number, since it uses less digits than its factorization.

316397140849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21813 (or 21783 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 316397140849152 in words is "three hundred sixteen trillion, three hundred ninety-seven billion, one hundred forty million, eight hundred forty-nine thousand, one hundred fifty-two".