315106640216064 has 720 divisors, whose sum is σ = 986947953788160. Its totient is φ = 96512759562240.

The previous prime is 315106640216059. The next prime is 315106640216107. The reversal of 315106640216064 is 460612046601513.

315106640216064 is a `hidden beast` number, since 3 + 1 + 5 + 10 + 6 + 6 + 4 + 0 + 21 + 606 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18331868782 + ... + 18331885970.

It is an arithmetic number, because the mean of its divisors is an integer number (1370761046928).

Almost surely, 2^{315106640216064} is an apocalyptic number.

315106640216064 is a gapful number since it is divisible by the number (34) 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 315106640216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493473976894080).

315106640216064 is an abundant number, since it is smaller than the sum of its proper divisors (671841313572096).

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

315106640216064 is a wasteful number, since it uses less digits than its factorization.

315106640216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17414 (or 17385 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 315106640216064 its reverse (460612046601513), we get a palindrome (775718686817577).

The spelling of 315106640216064 in words is "three hundred fifteen trillion, one hundred six billion, six hundred forty million, two hundred sixteen thousand, sixty-four".