315614636126664 has 256 divisors, whose sum is σ = 947273564160000. Its totient is φ = 85677874157568.

The previous prime is 315614636126663. The next prime is 315614636126743. The reversal of 315614636126664 is 466621636416513.

It is a super-2 number, since 2×315614636126664² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315614636126598 and 315614636126607.

It is not an unprimeable number, because it can be changed into a prime (315614636126663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469329337 + ... + 470001335.

It is an arithmetic number, because the mean of its divisors is an integer number (3700287360000).

Almost surely, 2^{315614636126664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315614636126664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473636782080000).

315614636126664 is an abundant number, since it is smaller than the sum of its proper divisors (631658928033336).

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

315614636126664 is a wasteful number, since it uses less digits than its factorization.

315614636126664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672852 (or 672848 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 60.

The spelling of 315614636126664 in words is "three hundred fifteen trillion, six hundred fourteen billion, six hundred thirty-six million, one hundred twenty-six thousand, six hundred sixty-four".