993816609816577 has 16 divisors (see below), whose sum is σ = 1034099275825152. Its totient is φ = 954320130751680.

The previous prime is 993816609816533. The next prime is 993816609816593. The reversal of 993816609816577 is 775618906618399.

It is a cyclic number.

It is not a de Polignac number, because 993816609816577 - 2⁷ = 993816609816449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993816609816494 and 993816609816503.

It is not an unprimeable number, because it can be changed into a prime (993816609816517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552755218 + ... + 554550235.

It is an arithmetic number, because the mean of its divisors is an integer number (64631204739072).

It is a Proth number, since it is equal to 29618043 ⋅ 2²⁵ + 1 and 29618043 < 2²⁵.

Almost surely, 2^{993816609816577} is an apocalyptic number.

It is an amenable number.

993816609816577 is a deficient number, since it is larger than the sum of its proper divisors (40282666008575).

993816609816577 is a wasteful number, since it uses less digits than its factorization.

993816609816577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107305808.

The product of its (nonzero) digits is 7407106560, while the sum is 85.

The spelling of 993816609816577 in words is "nine hundred ninety-three trillion, eight hundred sixteen billion, six hundred nine million, eight hundred sixteen thousand, five hundred seventy-seven".