9964557283617 has 32 divisors (see below), whose sum is σ = 15315362236800. Its totient is φ = 6395483674944.

The previous prime is 9964557283601. The next prime is 9964557283619. The reversal of 9964557283617 is 7163827554699.

9964557283617 is a `hidden beast` number, since 9 + 9 + 6 + 4 + 5 + 572 + 8 + 36 + 17 = 666.

It is not a de Polignac number, because 9964557283617 - 2⁴ = 9964557283601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9964557283619) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18065658 + ... + 18609059.

It is an arithmetic number, because the mean of its divisors is an integer number (478605069900).

Almost surely, 2^{9964557283617} is an apocalyptic number.

It is an amenable number.

9964557283617 is a deficient number, since it is larger than the sum of its proper divisors (5350804953183).

9964557283617 is a wasteful number, since it uses less digits than its factorization.

9964557283617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36675102 (or 36675096 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 9964557283617 in words is "nine trillion, nine hundred sixty-four billion, five hundred fifty-seven million, two hundred eighty-three thousand, six hundred seventeen".