315689653656 has 192 divisors, whose sum is σ = 926590129920. Its totient is φ = 96521967360.

The previous prime is 315689653607. The next prime is 315689653661. The reversal of 315689653656 is 656356986513.

It is a happy number.

315689653656 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 8 + 96 + 536 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315689653593 and 315689653602.

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, 241536955 + ... + 241538261.

It is an arithmetic number, because the mean of its divisors is an integer number (4825990260).

Almost surely, 2^315689653656 is an apocalyptic number.

315689653656 is a gapful number since it is divisible by the number (36) 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 315689653656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463295064960).

315689653656 is an abundant number, since it is smaller than the sum of its proper divisors (610900476264).

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

315689653656 is a wasteful number, since it uses less digits than its factorization.

315689653656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2759 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 63.

The spelling of 315689653656 in words is "three hundred fifteen billion, six hundred eighty-nine million, six hundred fifty-three thousand, six hundred fifty-six".