316534616145360 has 240 divisors, whose sum is σ = 1090684375809600. Its totient is φ = 84378390432768.

The previous prime is 316534616145359. The next prime is 316534616145379. The reversal of 316534616145360 is 63541616435613.

316534616145360 is a `hidden beast` number, since 3 + 1 + 6 + 5 + 3 + 4 + 616 + 14 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 316534616145297 and 316534616145306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49621350651 + ... + 49621357029.

It is an arithmetic number, because the mean of its divisors is an integer number (4544518232540).

Almost surely, 2^{316534616145360} is an apocalyptic number.

316534616145360 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 316534616145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545342187904800).

316534616145360 is an abundant number, since it is smaller than the sum of its proper divisors (774149759664240).

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

316534616145360 is an frugal number, since it uses more digits than its factorization.

316534616145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15987 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 316534616145360 in words is "three hundred sixteen trillion, five hundred thirty-four billion, six hundred sixteen million, one hundred forty-five thousand, three hundred sixty".