9714955601568 has 288 divisors, whose sum is σ = 30012881633280. Its totient is φ = 2743210229760.

The previous prime is 9714955601539. The next prime is 9714955601569. The reversal of 9714955601568 is 8651065594179.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9714955601499 and 9714955601508.

It is not an unprimeable number, because it can be changed into a prime (9714955601569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186048353 + ... + 1186056543.

It is an arithmetic number, because the mean of its divisors is an integer number (104211394560).

Almost surely, 2^{9714955601568} is an apocalyptic number.

9714955601568 is a gapful number since it is divisible by the number (98) 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 9714955601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006440816640).

9714955601568 is an abundant number, since it is smaller than the sum of its proper divisors (20297926031712).

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

9714955601568 is a wasteful number, since it uses less digits than its factorization.

9714955601568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11140 (or 11125 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 66.

The spelling of 9714955601568 in words is "nine trillion, seven hundred fourteen billion, nine hundred fifty-five million, six hundred one thousand, five hundred sixty-eight".