10313981568 has 192 divisors, whose sum is σ = 32513944320. Its totient is φ = 3112304640.

The previous prime is 10313981551. The next prime is 10313981581. The reversal of 10313981568 is 86518931301.

It is a happy number.

10313981568 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 9 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3255121 + ... + 3258287.

It is an arithmetic number, because the mean of its divisors is an integer number (169343460).

Almost surely, 2^10313981568 is an apocalyptic number.

10313981568 is a gapful number since it is divisible by the number (18) 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 10313981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256972160).

10313981568 is an abundant number, since it is smaller than the sum of its proper divisors (22199962752).

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

10313981568 is a wasteful number, since it uses less digits than its factorization.

10313981568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10313981568 in words is "ten billion, three hundred thirteen million, nine hundred eighty-one thousand, five hundred sixty-eight".