968014683963712 has 896 divisors, whose sum is σ = 2673262193541120. Its totient is φ = 339061282560000.

The previous prime is 968014683963707. The next prime is 968014683963751. The reversal of 968014683963712 is 217369386410869.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33093373087 + ... + 33093402337.

Almost surely, 2^{968014683963712} is an apocalyptic number.

968014683963712 is a gapful number since it is divisible by the number (92) 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 968014683963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336631096770560).

968014683963712 is an abundant number, since it is smaller than the sum of its proper divisors (1705247509577408).

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

968014683963712 is a wasteful number, since it uses less digits than its factorization.

968014683963712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29472 (or 29440 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 73.

The spelling of 968014683963712 in words is "nine hundred sixty-eight trillion, fourteen billion, six hundred eighty-three million, nine hundred sixty-three thousand, seven hundred twelve".