9650222959104 has 960 divisors, whose sum is σ = 36071091302400. Its totient is φ = 2524780855296.

The previous prime is 9650222959093. The next prime is 9650222959133. The reversal of 9650222959104 is 4019592220569.

9650222959104 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 22 + 29 + 591 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 1118343462 + ... + 1118352090.

It is an arithmetic number, because the mean of its divisors is an integer number (37574053440).

Almost surely, 2^{9650222959104} 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 9650222959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18035545651200).

9650222959104 is an abundant number, since it is smaller than the sum of its proper divisors (26420868343296).

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

9650222959104 is a wasteful number, since it uses less digits than its factorization.

9650222959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 9650222959104 in words is "nine trillion, six hundred fifty billion, two hundred twenty-two million, nine hundred fifty-nine thousand, one hundred four".