9016963555968 has 640 divisors, whose sum is σ = 29126725056000. Its totient is φ = 2762184499200.

The previous prime is 9016963555877. The next prime is 9016963556011. The reversal of 9016963555968 is 8695553696109.

9016963555968 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 9 + 6 + 3 + 5 + 559 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9016963555896 and 9016963555905.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 568562823 + ... + 568578681.

It is an arithmetic number, because the mean of its divisors is an integer number (45510507900).

Almost surely, 2^{9016963555968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9016963555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563362528000).

9016963555968 is an abundant number, since it is smaller than the sum of its proper divisors (20109761500032).

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

9016963555968 is a wasteful number, since it uses less digits than its factorization.

9016963555968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16006 (or 15985 counting only the distinct ones).

The product of its (nonzero) digits is 472392000, while the sum is 72.

The spelling of 9016963555968 in words is "nine trillion, sixteen billion, nine hundred sixty-three million, five hundred fifty-five thousand, nine hundred sixty-eight".