9734152163328 has 312 divisors, whose sum is σ = 28804598772768. Its totient is φ = 3166330945536.

The previous prime is 9734152163297. The next prime is 9734152163339. The reversal of 9734152163328 is 8233612514379.

9734152163328 is a `hidden beast` number, since 9 + 7 + 3 + 4 + 152 + 163 + 328 = 666.

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, 264259600 + ... + 264296432.

It is an arithmetic number, because the mean of its divisors is an integer number (92322431964).

Almost surely, 2^{9734152163328} 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 9734152163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14402299386384).

9734152163328 is an abundant number, since it is smaller than the sum of its proper divisors (19070446609440).

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

9734152163328 is a wasteful number, since it uses less digits than its factorization.

9734152163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37037 (or 37012 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 9734152163328 in words is "nine trillion, seven hundred thirty-four billion, one hundred fifty-two million, one hundred sixty-three thousand, three hundred twenty-eight".