993823566649 has 9 divisors (see below), whose sum is σ = 995832396783. Its totient is φ = 991818786672.

The previous prime is 993823566641. The next prime is 993823566679. The reversal of 993823566649 is 946665328399.

It is a happy number.

The square root of 993823566649 is 996907.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84394317049 + 909429249600 = 290507^2 + 953640^2 .

It is not a de Polignac number, because 993823566649 - 2³ = 993823566641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993823566641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 880268317 + ... + 880269445.

It is an arithmetic number, because the mean of its divisors is an integer number (110648044087).

Almost surely, 2^993823566649 is an apocalyptic number.

993823566649 is the 996907-th square number.

993823566649 is the 498454-th centered octagonal number.

It is an amenable number.

993823566649 is a deficient number, since it is larger than the sum of its proper divisors (2008830134).

993823566649 is an frugal number, since it uses more digits than its factorization.

993823566649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 2012 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 70.

The spelling of 993823566649 in words is "nine hundred ninety-three billion, eight hundred twenty-three million, five hundred sixty-six thousand, six hundred forty-nine".