313796560896 has 1152 divisors, whose sum is σ = 1191987014400. Its totient is φ = 80741007360.

The previous prime is 313796560811. The next prime is 313796560897. The reversal of 313796560896 is 698065697313.

313796560896 is a `hidden beast` number, since 3 + 13 + 7 + 9 + 6 + 5 + 608 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313796560897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7653574636 + ... + 7653574676.

It is an arithmetic number, because the mean of its divisors is an integer number (1034710950).

Almost surely, 2^313796560896 is an apocalyptic number.

313796560896 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 313796560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595993507200).

313796560896 is an abundant number, since it is smaller than the sum of its proper divisors (878190453504).

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

313796560896 is an frugal number, since it uses more digits than its factorization.

313796560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 313796560896 in words is "three hundred thirteen billion, seven hundred ninety-six million, five hundred sixty thousand, eight hundred ninety-six".