9968014014 has 64 divisors (see below), whose sum is σ = 22924780032. Its totient is φ = 2830464000.

The previous prime is 9968013989. The next prime is 9968014031. The reversal of 9968014014 is 4104108699.

9968014014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9968014014² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

9968014014 is a modest number, since divided by 14014 gives 9968 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9483789 + ... + 9484839.

It is an arithmetic number, because the mean of its divisors is an integer number (358199688).

Almost surely, 2^9968014014 is an apocalyptic number.

9968014014 is an abundant number, since it is smaller than the sum of its proper divisors (12956766018).

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

9968014014 is a wasteful number, since it uses less digits than its factorization.

9968014014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241.

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9968014014 is about 99839.9419771466. The cubic root of 9968014014 is about 2152.1351792880.

The spelling of 9968014014 in words is "nine billion, nine hundred sixty-eight million, fourteen thousand, fourteen".